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^{-(1)/(2) }=(1)/(√(5) )`