SOLUTION: 1. log(3)x=-2 (answers: -8, -6, 1/9, 9) 2. 7^x=8 (answers:.06, .94, .98, 1.07)

Question 116158: 1. log(3)x=-2
(answers: -8, -6, 1/9, 9)
2. 7^x=8
(answers:.06, .94, .98, 1.07)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1
Start with the given equation.

Rewrite the equation using the property: ====>

Rewrite as

Evaluate to get 9

So our answer is

#2

Start with the given equation.

Take the log of both sides.

Rewrite the left side using the identity .

Divide both sides by to isolate x

Now simply use a calculator to evaluate the right side

So our approximate answer is
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