If your variable is an exponents, use logarithms (either common or natural).
7^x = 5 Take the log (or ln) of both sides:
Using common logs:
log(7^x) = log(5) Now, since you have a log of an exponent, the exponent comes out as a multiplier:
x·log(7) = log(5) Now, divide both sides by log(7):
x = log(5) / log(7) Calculator time:
x ≈ 0.827
[If you used ln instead of log, your answer would be the same.]
If your variable is an exponents, use logarithms (either common or natural).
7^x = 5 Take the log (or ln) of both sides:
Using common logs:
log(7^x) = log(5) Now, since you have a log of an exponent, the exponent comes out as a multiplier:
x·log(7) = log(5) Now, divide both sides by log(7):
x = log(5) / log(7) Calculator time:
x ≈ 0.827
[If you used ln instead of log, your answer would be the same.]