In: Math
| 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)= | ||||
| p(t)=15log9(t)p(t)=15log9(t) | 
  | 
p(158)=p(158)= | ||||
| f(x)=18+log4(x)f(x)=18+log4(x) | 
  | 
f(151)=f(151)= | ||||