Question

Solve for x i will give brainlest

Answer 1

Answer:

$\displaystyle x = 3.97$

Step-by-step explanation:

we are given a exponential equation

$\displaystyle {3}^{x} = 78$

we want to figure out x

remember that,

$\displaystyle \log_{a}( {a}^{c} ) = c$

thus

take $\log_3$ both sides:

$\displaystyle \log_{3}( {3}^{x} ) = \log_{3}(78)$

use the formula:

$\displaystyle x = \log_{3}(78)$

by using calculator

$\displaystyle x = 3.97$