college algebra

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solve the following exponential equation.

7^x=8

a. x= Write in exact solution
b. then with that answer move the decimal 3 points over

• college algebra -

log10(7^x) = log10(8)
Using log rules (log(a^b) = b*log(a))

x*log10(7) = log10(8)
x*.845 = .903 = log(8)/log(7)
x = 1.068 to 3 decimals

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