Question

Write an equivalent exponential equation for the following three problems.

Answer 1

Answer with step-by-step explanation:

We are given three different expressions and we are to write an equivalent exponential equation for them.

We know that the standard form of a logarithmic expression is given by:

$y = log_a ( x )$ which is equivalent to the exponential form  $x = a ^ y$.

1. $log _ {10} (0.1) = -1$ ---> $10^{-1}=0.1$

2. $log _ {3} 9 = 2$ ---> $3^2=9$

3. $log _ 5 ( \frac { 1 } { \sqrt { 5 } } ) = -\frac { 1 } { 2 }$ ---> $5^{-\frac{1}{2} }=\frac{1}{\sqrt{5} }$