Question

In: Math

5. Use the Laws of Logarithms to combine the expression: 3 (log5 (x) + 3 log...

5. Use the Laws of Logarithms to combine the expression: 3 (log5 (x) + 3 log 5 (y)−4 log 5 (z) )​

Solutions

Expert Solution

Applying logarithmic property

Applying logarithmic property

Applying logarithmic property

Applying logarithmic property

Therefore,

The combined logarithmic expression is,

Verification:

We can verify by expanding the expression

Applying logarithmic property

Applying logarithmic property

Applying logarithmic property

Applying logarithmic property

Which is same as the expanded form.

Therefore,

The combined expression is,


Related Solutions

use change of base formula log base 2/3(.155)
use change of base formula log base 2/3(.155)
Task 3: a) A second-degree polynomial in x is given by the expression = + +...
Task 3: a) A second-degree polynomial in x is given by the expression = + + , where a, b, and c are known numbers and a is not equal to 0. Write a C function named polyTwo (a,b,c,x) that computes and returns the value of a second-degree polynomial for any passed values of a, b, c, and x. b) Include the function written in part a in a working program. Make sure your function is called from main() and...
Which expression can be used to check if an integer x is a multiple of 5...
Which expression can be used to check if an integer x is a multiple of 5 within the range 20 to 50 inclusively? Select one: a. (x >= 20 && x % 5 == 0) || (x <= 50 && x % 5 == 0) b. x <= 50 && x >= 20 && x % 5 == 0 c. 20 <= (x % 5) <= 50 d. (x % 5 == 0) && (20 <= x <= 50)
(A) Use logarithms to solve the problems. How long will it take $15,000 to grow to...
(A) Use logarithms to solve the problems. How long will it take $15,000 to grow to $18,000 if the investment earns interest at the rate of 5%/year compounded monthly? (Round your answer to two decimal places.) yr How long will it take an investment of $5000 to triple if the investment earns interest at the rate of 3%/year compounded daily? (Round your answer to two decimal places.) yr Find the interest rate needed for an investment of $3000 to double...
Show all your work. Let f(x) = x 5 e x 3 (i) Use the Taylor...
Show all your work. Let f(x) = x 5 e x 3 (i) Use the Taylor series for e x around 0 to find the Taylor series for f(x) (ii) Use (i) to find f (20)(0), f (21)(0), f (22)(0), f (23)(0)
BUSINESS LAW EMPLOYMENT LAWS 5. Name 3 laws that affect employee health, safety or privacy. 6....
BUSINESS LAW EMPLOYMENT LAWS 5. Name 3 laws that affect employee health, safety or privacy. 6. What must an employer do to comply with the Immigration Reform and Control Act. What happens if they don't? 7. What are the primary provisions of the National Labor Relations Act?
Use the following dataset for the next four questions: X: 5 3 6 3 4 4...
Use the following dataset for the next four questions: X: 5 3 6 3 4 4 6 8 Y: 13 15 7 12 13 11 9 5 1. What is the correlation value “r”? a. -0.98 b. -0.89 c. 0.89 d. None of the above 2. Is the “r” signifcant at alpha = 0.05? (circle one) Yes No 3. Identify the regression equation below (note: Y is the dependent variable): a. Y = 19.12 + 1.74(X) b. Y = 19.12...
Use the algorithm below to evaluate the following infix expression: a) a + 3 * 4...
Use the algorithm below to evaluate the following infix expression: a) a + 3 * 4 – 9 b) ( 2 + 6 ) / ( 3 – 5 ) . Algorithm WRITE STEP BY STEP Scan the characters in the infix expression. While there are characters left in the infix expression: Check the next character in the expression. 1. If the next character is operand, remove it from the expression and push it onto the operand stack. 2. If...
Consider two logistic regression models: log(P(X)/(1-P(X)) = 0.1 + 0.2x1 + 0.3x2, and log(P(X)/(1-P(X)) = 0.1...
Consider two logistic regression models: log(P(X)/(1-P(X)) = 0.1 + 0.2x1 + 0.3x2, and log(P(X)/(1-P(X)) = 0.1 - 0.2x1 - 0.3x2 Compute the corresponding likelihood of the data below. Which model is better? x1 1.1 2.0 1.3 1.5 1.3 x2 2.0 1.2 1.2 1.4 2.1 Y 0 1 0 1 1
Differentiate: do the Derivative for all (a) f(x) = x ^3 − 5e + x ^5/3...
Differentiate: do the Derivative for all (a) f(x) = x ^3 − 5e + x ^5/3 (b) g(x) = x ^2+e^ x / √ x+1 (c) h(x) = 2^sec(x) (d) j(x) = cos(sin(xe^x )) (e) f(x) = 2^x sin−1 (x^3 ) (f) g(x) = x ^sec(x) (g) f(x) = tan−1 ( √ 2x + 1) (h) h(x) = e^x log3 (x^2 − 1) (i) g(x) = (cot(x) + 4/ x )(ln(x) − 2e^ x ) (j) j(x) = log2 (sin(xe^x...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT