Solving Logarithms using the Change of Base
Formula
Use the change of base formula to rewrite the
logarithm using base 10 logarithms. Then use your calculator to
evaluate the logarithm. Round your result to three decimal
places.
Logarithmic Function
Rewritten using the change of base formula
Evaluated using the calculator
f(x)=log2(x)f(x)=log2(x)
f(8)=log2(8)=log(8)log(2)f(8)=log2(8)=log(8)log(2)
f(8)=3f(8)=3
h(x)=log8(x)h(x)=log8(x)
h(23)=h(23)=
=
h(23)=h(23)=
p(t)=15log9(t)p(t)=15log9(t)
p(158)=p(158)=
=
p(158)=p(158)=
f(x)=18+log4(x)f(x)=18+log4(x)
f(151)=f(151)=
=
f(151)=f(151)=
Write a Java program named BinaryConversion that will convert
base 2 numbers to base 10 numbers.
The data for this program will be entered from the keyboard
using JOptionPane one 16-bit binary number at a time. Note that
each base 2 number is actually read in as a String. The program
should continue until a 16-bit base 2 number consisting of all 0’s
is entered.
Once the 16-bit number has been entered your program should make
sure that the input...
1. Explain how to convert positive integers from base 3 to base
10 and vice versa. Include examples.
2. Explain how to convert fractions from base 3 to base 10 and
vice versa. Include examples.
1a. Convert 67 (base 10) to 8-bit binary using signed magnitude.
Show your work.
1b. Convert 69 (base 10) to 8-bit binary using one’s complement.
Show your work
1c. Convert 70 (base 10) to 8-bit binary using two’s complement.
Show your work.
1d. Convert - 67 (base 10) to 8-bit binary using signed
magnitude.
1e. Convert - 67 (base 10) to 8-bit binary using ones
compliment. Show your work.
1f. Convert - 67 (base 10) to 8-bit binary using 2s...
Convert the hexadecimal number directly to base 4; then convert
both the original number and your answer to binary to check your
result.
Please show steps and explain
Conjugate Acid-Base Pairs:
a.) The formula for the conjugate base of
H2C2O4 is _____________.
b.) The formula for the conjugate acid of
HCO3- is ______________.
c.) The formula for the conjugate acid of
C2O42_ is ______________.
d.) The formula for the conjugate acid of
HPO42_ is ______________.
e.) The formula for the conjugate base of
HCO3- is ______________.
f.) The formula for the conjugate acid of
HSO3- is _______________.