What is the answer to log_{x}(21)=7 ?

The answer to log_{x}(21)=7 is x=\sqrt[7]{21}

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log_{x}(21)=7

lo g_{x} (21) = 7

Decimal Notation

x = 1.54485 \dots

Solution steps

lo g_{x} (21) = 7

Apply log rules

\frac{1}{lo g _{21} ( x )} = 7

Multiply both sides by

lo g_{21} (x)

\frac{1}{lo g _{21} ( x )} lo g_{21} (x) = 7 lo g_{21} (x)

Simplify

1 = 7 lo g_{21} (x)

Switch sides

7 lo g_{21} (x) = 1

Divide both sides by

7

lo g_{21} (x) = \frac{1}{7}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{7} (x) = 4

lo g_{10} (x - 6) = 5

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

2 + ln (x) = 5

lo g_{25} (x) = 1

What is the answer to log_{x}(21)=7 ?
The answer to log_{x}(21)=7 is x=\sqrt[7]{21}
Solve for x: log_{x}(21)=7
The solution is x=\sqrt[7]{21}