Question

Find the exact solution and a two-decimal-place approximation exponential equation and special change of base formula: (1/3)^x = 100

Answer 1

Natural log both sides

Answer 2

or log base ten both sides...

Answer 3

\[\ln(\frac{1}{3})^{x}=\ln(100)\]

Answer 4

\[xln(1/3)=\ln100\]
\[x=\frac{\ln100}{\ln(1/3)}\]

Answer 5

thank you.

Answer 6

yw

Answer 7

Thank you also, dpalnc.

Answer 8

yw