What is the answer to log_{x}(4)=log_{10}(100) ?

The answer to log_{x}(4)=log_{10}(100) is x=2

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log_{x}(4)=log_{10}(100)

lo g_{x} (4) = lo g_{10} (100)

x = 2

Solution steps

lo g_{x} (4) = lo g_{10} (100)

Apply log rules

\frac{1}{lo g _{4} ( x )} = 2

Multiply both sides by

lo g_{4} (x)

\frac{1}{lo g _{4} ( x )} lo g_{4} (x) = 2 lo g_{4} (x)

Simplify

1 = 2 lo g_{4} (x)

Switch sides

2 lo g_{4} (x) = 1

Divide both sides by

2

lo g_{4} (x) = \frac{1}{2}

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{5} (x + 5) + lo g_{5} (x - 4) = 3

lo g_{3} (x) = x

lo g_{3} (x) = a

x, y - ln (x + 1) = 0

ln (2) + ln (x - 4) = ln (x)

What is the answer to log_{x}(4)=log_{10}(100) ?
The answer to log_{x}(4)=log_{10}(100) is x=2
Solve for x: log_{x}(4)=log_{10}(100)
The solution is x=2