What is the answer to log_{a}(3)=7 ?

The answer to log_{a}(3)=7 is a=\sqrt[7]{3}

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log_{a}(3)=7

lo g_{a} (3) = 7

Decimal Notation

a = 1.16993 \dots

Solution steps

lo g_{a} (3) = 7

Apply log rules

\frac{1}{lo g _{3} ( a )} = 7

Multiply both sides by

lo g_{3} (a)

\frac{1}{lo g _{3} ( a )} lo g_{3} (a) = 7 lo g_{3} (a)

Simplify

1 = 7 lo g_{3} (a)

Switch sides

7 lo g_{3} (a) = 1

Divide both sides by

7

lo g_{3} (a) = \frac{1}{7}

Apply log rules

Verify Solutions:

True

The solution is

x, f^{- 1} (x) = ln (x + 3)

8 + ln (8 x) = 26 - 2 ln (x)

3 = 8 lo g_{10} (6 x + 3)

0 = 2 x ln (2 x) + x

lo g_{10} (\frac{4 x}{2}) = 2

What is the answer to log_{a}(3)=7 ?
The answer to log_{a}(3)=7 is a=\sqrt[7]{3}
Solve for a: log_{a}(3)=7
The solution is a=\sqrt[7]{3}