What is the answer to log_{a}(1296)=4 ?

The answer to log_{a}(1296)=4 is a=6

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log_{a}(1296)=4

lo g_{a} (1296) = 4

a = 6

Solution steps

lo g_{a} (1296) = 4

Apply log rules

\frac{1}{lo g _{1296} ( a )} = 4

Multiply both sides by

lo g_{1296} (a)

\frac{1}{lo g _{1296} ( a )} lo g_{1296} (a) = 4 lo g_{1296} (a)

Simplify

1 = 4 lo g_{1296} (a)

Switch sides

4 lo g_{1296} (a) = 1

Divide both sides by

4

lo g_{1296} (a) = \frac{1}{4}

Apply log rules

a = 6

Verify Solutions:

a = 6

True

The solution is

a = 6

y, ln (y) - ln (1 - y) = x

lo g_{2} (2 x - 4) = 4

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

ln (\frac{( t - 63 )}{125}) = - 0.07 t

2 ln (4 x + 1) + 14 = 20