What is the answer to solvefor a,log_{a}(b)=c ?

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

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solvefor a,log_{a}(b)=c

solve for

a, lo g_{a} (b) = c

a = e^{\frac{l n ( b )}{c}}

Solution steps

lo g_{a} (b) = c

Apply log rules

\frac{ln ( b )}{ln ( a )} = c

Multiply both sides by

ln (a)

\frac{ln ( b )}{ln ( a )} ln (a) = c ln (a)

Simplify

ln (b) = c ln (a)

Switch sides

c ln (a) = ln (b)

Divide both sides by

c

ln (a) = \frac{ln ( b )}{c}

Apply log rules

a = e^{\frac{l n ( b )}{c}}

lo g_{4} (3 x + 1) = 2

lo g_{x} (4) = \frac{1}{3}

lo g_{2} (x + 4) = 3 - lo g_{2} (x + 6)

lo g_{3} (x) + lo g_{3} (x + 3) = 2

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

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