SOLUTION: How do you solve for x when it acts as the exponent? Example: 4^x=370

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Question 756236: How do you solve for x when it acts as the exponent?
Example:
4^x=370
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You correctly placed your question's category as "logarithm", so you must already be aware of the inverse nature of the logarithm function and the exponential function.

Take "logarithms" of both sides of the equation.
log%2810%2C4%5Ex%29=log%2810%2C370%29 using base ten logarithm.
x%2Alog%2810%2C4%29=log%2810%2C370%29 another rule about logarithms.
highlight%28x=log%2810%2C370%29%2Flog%2810%2C4%29%29

Now you either look in a table of logarithms, or use your scientific calculator's logarithm feature.

x=2.568%2F0.60205 which you might want just to three significant figures.