What is the answer to log_{X}(10)= 2/3 ?

The answer to log_{X}(10)= 2/3 is X=10sqrt(10)

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log_{X}(10)= 2/3

lo g_{X} (10) = \frac{2}{3}

X = 1010

Solution steps

lo g_{X} (10) = \frac{2}{3}

Apply log rules

\frac{1}{lo g _{10} ( X )} = \frac{2}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 3 = lo g_{10} (X) \cdot 2

Simplify

3 = lo g_{10} (X) \cdot 2

Switch sides

lo g_{10} (X) \cdot 2 = 3

Divide both sides by

2

lo g_{10} (X) = \frac{3}{2}

Apply log rules

X = 1010

Verify Solutions:

X = 1010

True

The solution is

X = 1010

lo g_{7} (y) = 4

lo g_{12} (x) + lo g_{12} (2 x - 5) = 1

lo g_{b} (8) = 0

2 ln (x - 4) = 6

8.1 = lo g_{10} (H)

What is the answer to log_{X}(10)= 2/3 ?
The answer to log_{X}(10)= 2/3 is X=10sqrt(10)
Solve for X: log_{X}(10)= 2/3
The solution is X=10sqrt(10)