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

Algebra.Com
Question 756236: How do you solve for x when it acts as the exponent?
Example:
4^x=370

Answer by josgarithmetic(39618)   (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.
using base ten logarithm.
another rule about logarithms.


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

which you might want just to three significant figures.

RELATED QUESTIONS

How do you solve for x when x is the exponent in this problem? e^-x=6 (answered by solver91311)
How do you find the x and y intercepts of a log function? Example: f(x) = {{{ log( 2, (answered by vleith)
what do you do when you have a number to a negative exponent? for example 4 to the... (answered by vleith,richwmiller)
how do you solve (x + 4)(exponent)5 = -1... (answered by scott8148)
I have to write a system of equations for this word problem: In a talent show of singing (answered by ptaylor)
When you have a prolem for example ( x - 4 ) ( -2 ) when you are saloveing does the x... (answered by ReadingBoosters)
how do you solve an equation with x as an exponent.... for ex.... (answered by solver91311)
I understand the concepts behind natural logarithms and solving for an exponent, but on... (answered by Alan3354)
How do you solve problems that have an exponent to the left of a radical? (answered by bucky)