What is the answer to log_{x}(2)=2.55 ?

The answer to log_{x}(2)=2.55 is x=2^{20/51}

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log_{x}(2)=2.55

lo g_{x} (2) = 2.55

x = 2^{\frac{20}{51}}

Decimal Notation

x = 1.31235 \dots

Solution steps

lo g_{x} (2) = 2.55

Apply log rules

\frac{1}{lo g _{2} ( x )} = 2.55

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 2.55 lo g_{2} (x)

Simplify

1 = 2.55 lo g_{2} (x)

Switch sides

2.55 lo g_{2} (x) = 1

Multiply both sides by

100

255 lo g_{2} (x) = 100

Divide both sides by

255

lo g_{2} (x) = \frac{20}{51}

Apply log rules

x = 2^{\frac{20}{51}}

Verify Solutions:

x = 2^{\frac{20}{51}}

True

The solution is

x = 2^{\frac{20}{51}}

lo g_{10} (X) = 36466

lo g_{2} (x) - lo g_{2} (3) = 3

lo g_{10} (7 - x) = 2

x^{2} ln (x) = (6 x - 9) ln (x)

2 lo g_{3} (x - 1) = 4

What is the answer to log_{x}(2)=2.55 ?
The answer to log_{x}(2)=2.55 is x=2^{20/51}
Solve for x: log_{x}(2)=2.55
The solution is x=2^{20/51}