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128 = x7 (we see that x > 0, since x is raised to an odd power)

27 = x7 (this is true only when x = 2)

2 = x

Remember that a logarithm is an exponent.

The statement 128 = x7 is equivalent to logx 128 = 7.

logx 128 = 7

log 128/log x = 7 (or reverse the both sides)

log x/log 128 = 1/7 (multiply by log 128 to both sides)

log x = log128/7 (or use base 10 for the logarithm)

log10 x = log128/7 (write the equivalent statement)

10log 128/7 = x

2 = x

or use the natural log, ln.

128 = x7

ln 128 = ln x7

ln 128 = 7ln x

(ln 128)/7 = ln x

e(ln128)/7 = elnx (elnx = x )

2 = x

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Q: 128 equals x to the power 7 what is x how do i use logarithms to solve it?
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