What is the answer to solvefor A,log_{ab}(A)=6 ?

The answer to solvefor A,log_{ab}(A)=6 is a=e^{-(6ln(b))/5} {b>0}

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solvefor A,log_{ab}(A)=6

solve for

a, lo g_{ab} (a) = 6

a = e^{- \frac{6 l n ( b )}{5}} {b > 0}

Solution steps

lo g_{ab} (a) = 6

Apply log rules

\frac{ln ( a )}{ln ( ab )} = 6

Multiply both sides by

ln (ab)

\frac{ln ( a )}{ln ( ab )} ln (ab) = 6 ln (ab)

Simplify

ln (a) = 6 ln (ab)

Apply log rules

a = e^{- \frac{6 l n ( b )}{5}}

Verify Solutions:

a = e^{- \frac{6 l n ( b )}{5}} {b > 0}

The solution is

a = e^{- \frac{6 l n ( b )}{5}} {b > 0}

lo g_{4} (12 x) = 3

2 lo g_{5} (x + 3) = 5

lo g_{10} (x) = 4.1

lo g_{2} (x) + lo g_{4} (x) + lo g_{16} (x) = 7

lo g_{x} (3 x) = 2

What is the answer to solvefor A,log_{ab}(A)=6 ?
The answer to solvefor A,log_{ab}(A)=6 is a=e^{-(6ln(b))/5} {b>0}