SOLUTION: pls help me solve this. 4 raise to the power of x-1 equals 8, solve for x. And x=log(0.001) to the base of 10. Solve for x

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Question 1043776: pls help me solve this.
4 raise to the power of x-1 equals 8, solve for x.
And
x=log(0.001) to the base of 10. Solve for x

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
You would certainly have trouble with the first question if you do not understand the second question.

x=log%28%280.001%29%29, for base 10;
x=log%2810%2C0.001%29
x=log%2810%2C10%5E%28-3%29%29
x=-3%2Alog%2810%2C10%29
x=-3%2A1
highlight%28x=-3%29


4%5E%28x-1%29=8
HINT: Use base 2.