What is the answer to log_{x}(49)= 2/3 ?

The answer to log_{x}(49)= 2/3 is x=343

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log_{x}(49)= 2/3

lo g_{x} (49) = \frac{2}{3}

x = 343

Solution steps

lo g_{x} (49) = \frac{2}{3}

Apply log rules

\frac{1}{lo g _{49} ( 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_{49} (x) \cdot 2

Simplify

3 = lo g_{49} (x) \cdot 2

Switch sides

lo g_{49} (x) \cdot 2 = 3

Divide both sides by

2

lo g_{49} (x) = \frac{3}{2}

Apply log rules

x = 343

Verify Solutions:

x = 343

True

The solution is

x = 343

lo g_{x} (27) + lo g_{10} (x) 3 = 2

ln (M) = 6.666

lo g_{4} ((1 + x^{2})^{2}) = 0.25

lo g_{e} (x + 1) + lo g_{e} (x) = 0

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

What is the answer to log_{x}(49)= 2/3 ?
The answer to log_{x}(49)= 2/3 is x=343
Solve for x: log_{x}(49)= 2/3
The solution is x=343