What is the answer to log_{x}(49)=7 ?

The answer to log_{x}(49)=7 is x=\sqrt[7]{49}

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log_{x}(49)=7

lo g_{x} (49) = 7

Decimal Notation

x = 1.74363 \dots

Solution steps

lo g_{x} (49) = 7

Apply log rules

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

Multiply both sides by

lo g_{49} (x)

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

Simplify

1 = 7 lo g_{49} (x)

Switch sides

7 lo g_{49} (x) = 1

Divide both sides by

7

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

Apply log rules

Verify Solutions:

True

The solution is

lo g_{10} (x) = 21

lo g_{10} (x) = 20

lo g_{10} (x) = 25

13.7 = lo g_{10} (x)

x, 2 x - 3 y + ln (x y) = 4

What is the answer to log_{x}(49)=7 ?
The answer to log_{x}(49)=7 is x=\sqrt[7]{49}
Solve for x: log_{x}(49)=7
The solution is x=\sqrt[7]{49}