What is the answer to solvefor a,log_{a}(mn)=16 ?

The answer to solvefor a,log_{a}(mn)=16 is a=e^{(ln(mn))/(16)}

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solvefor a,log_{a}(mn)=16

solve for

a, lo g_{a} (mn) = 16

a = e^{\frac{l n ( mn )}{16}}

Solution steps

lo g_{a} (mn) = 16

Apply log rules

\frac{ln ( mn )}{ln ( a )} = 16

Multiply both sides by

ln (a)

\frac{ln ( mn )}{ln ( a )} ln (a) = 16 ln (a)

Simplify

ln (mn) = 16 ln (a)

Switch sides

16 ln (a) = ln (mn)

Divide both sides by

16

ln (a) = \frac{ln ( mn )}{16}

Apply log rules

a = e^{\frac{l n ( mn )}{16}}

\frac{9}{8} lo g_{2} (x) = - 4

2 + ln (x + 1) = 0

25 = 10 lo g_{10} (S)

ln (4) + ln (x + 2) = ln (9)

0 = 80 - 9 lo g_{10} (t + 1)

What is the answer to solvefor a,log_{a}(mn)=16 ?
The answer to solvefor a,log_{a}(mn)=16 is a=e^{(ln(mn))/(16)}