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Popular >

log_{a}(n^m)=16

Solution

lo g_{a} (n^{m}) = 16

Solution

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

Solution steps

lo g_{a} (n^{m}) = 16

Apply log rules

\frac{ln ( n ^{m} )}{ln ( a )} = 16

Multiply both sides by

ln (a)

\frac{ln ( n ^{m} )}{ln ( a )} ln (a) = 16 ln (a)

Simplify

ln (n^{m}) = 16 ln (a)

Switch sides

16 ln (a) = ln (n^{m})

Divide both sides by

16

ln (a) = \frac{ln ( n ^{m} )}{16}

Apply log rules

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

Solve

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

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

Popular Examples

(ln(|x-1|-1))=-1

(ln (∣ x - 1 ∣ - 1)) = - 1

(log_{5}(x))^2=1

(lo g_{5} (x))^{2} = 1

A (x) = ln (x) - 1

2 = lo g_{10} (3 x)

log_{4}(log_{2}(x+1))=1

lo g_{4} (lo g_{2} (x + 1)) = 1

Frequently Asked Questions (FAQ)

What is the answer to log_{a}(n^m)=16 ?
The answer to log_{a}(n^m)=16 is a=e^{(mln(n))/(16)}