What is the answer to 2log_{10}(x)=6log_{2}(x) ?

The answer to 2log_{10}(x)=6log_{2}(x) is x=1

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2log_{10}(x)=6log_{2}(x)

2 lo g_{10} (x) = 6 lo g_{2} (x)

x = 1

Solution steps

2 lo g_{10} (x) = 6 lo g_{2} (x)

Divide both sides by

2

\frac{2 lo g _{10} ( x )}{2} = \frac{6 lo g _{2} ( x )}{2}

Simplify

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

Apply log rules

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{10} (10 x) = - 1

lo g_{10} (x + 3) = 1

ln (8 x + 5) = 2 + 2 ln^{3} (x)

p, lo g_{10} (p (x)^{2}) + lo g_{10} (p) (x - 1) = 0

\frac{lo g _{3} ( x + 8 ) + 1}{2 \cdot lo g _{3} ( x ^{2} )} = 2

What is the answer to 2log_{10}(x)=6log_{2}(x) ?
The answer to 2log_{10}(x)=6log_{2}(x) is x=1
Solve for x: 2log_{10}(x)=6log_{2}(x)
The solution is x=1