What is the answer to log_{a}(4)=1525 ?

The answer to log_{a}(4)=1525 is a=\sqrt[1525]{4}

Solve for a: log_{a}(4)=1525

The solution is a=\sqrt[1525]{4}

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lo g_{a} (4) = 1525

Decimal Notation

a = 1.00090 \dots

Solution steps

lo g_{a} (4) = 1525

Apply log rules

\frac{1}{lo g _{4} ( a )} = 1525

Multiply both sides by

lo g_{4} (a)

\frac{1}{lo g _{4} ( a )} lo g_{4} (a) = 1525 lo g_{4} (a)

Simplify

1 = 1525 lo g_{4} (a)

Switch sides

1525 lo g_{4} (a) = 1

Divide both sides by

1525

lo g_{4} (a) = \frac{1}{1525}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{x} (\frac{1}{49}) = 7

lo g_{2} (x) + lo g_{2} (x - 4) = 5

(lo g_{3} (x) - 1) lo g_{3} (x) = 0

lo g_{10} (12 X) = \frac{4}{5}

ln (2 x) - 5 ln (x^{2}) = 0

What is the answer to log_{a}(4)=1525 ?
The answer to log_{a}(4)=1525 is a=\sqrt[1525]{4}
Solve for a: log_{a}(4)=1525
The solution is a=\sqrt[1525]{4}