What is the answer to log_{x}(1008)=2 ?

The answer to log_{x}(1008)=2 is x=12sqrt(7)

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log_{x}(1008)=2

lo g_{x} (1008) = 2

x = 127

Decimal Notation

x = 31.74901 \dots

Solution steps

lo g_{x} (1008) = 2

Apply log rules

\frac{1}{lo g _{1008} ( x )} = 2

Multiply both sides by

lo g_{1008} (x)

\frac{1}{lo g _{1008} ( x )} lo g_{1008} (x) = 2 lo g_{1008} (x)

Simplify

1 = 2 lo g_{1008} (x)

Switch sides

2 lo g_{1008} (x) = 1

Divide both sides by

2

lo g_{1008} (x) = \frac{1}{2}

Apply log rules

x = 127

Verify Solutions:

x = 127

True

The solution is

x = 127

lo g_{x} (x + 2) = 2

lo g_{5} (y) = 40

0.58 = ln (x)

a, ln (a) = ln (b)

2 lo g_{5} (x) - lo g_{5} (x + 6) = 2

What is the answer to log_{x}(1008)=2 ?
The answer to log_{x}(1008)=2 is x=12sqrt(7)
Solve for x: log_{x}(1008)=2
The solution is x=12sqrt(7)