What is the answer to 2log_{10}(x)8-log_{10}(x)4=2 ?

The answer to 2log_{10}(x)8-log_{10}(x)4=2 is x=\sqrt[6]{10}

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2log_{10}(x)8-log_{10}(x)4=2

2 lo g_{10} (x) 8 - lo g_{10} (x) 4 = 2

Decimal Notation

x = 1.46779 \dots

Solution steps

2 lo g_{10} (x) \cdot 8 - lo g_{10} (x) \cdot 4 = 2

Divide both sides by

2

\frac{2 lo g _{10} ( x ) \cdot 8}{2} - \frac{lo g _{10} ( x ) \cdot 4}{2} = \frac{2}{2}

Simplify

6 lo g_{10} (x) = 1

Divide both sides by

6

lo g_{10} (x) = \frac{1}{6}

Apply log rules

Verify Solutions:

True

The solution is

ln (14 x + 8) = 7

ln (3 x - 14) = 7

4 lo g_{10} (x) = 2

x, lo g_{x} (6 x - 9) = 2

lo g_{x} (81) + 2 lo g_{x} (729) = 16

What is the answer to 2log_{10}(x)8-log_{10}(x)4=2 ?
The answer to 2log_{10}(x)8-log_{10}(x)4=2 is x=\sqrt[6]{10}
Solve for x: 2log_{10}(x)8-log_{10}(x)4=2
The solution is x=\sqrt[6]{10}