What is the answer to 5log_{10}(x)=log_{3}(2) ?

The answer to 5log_{10}(x)=log_{3}(2) is x=10^{(log_{3}(2))/5}

Solve for x: 5log_{10}(x)=log_{3}(2)

The solution is x=10^{(log_{3}(2))/5}

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

x = 1 0^{\frac{l o g _{3} ( 2 )}{5}}

Decimal Notation

x = 1.33716 \dots

Solution steps

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

Divide both sides by

5

lo g_{10} (x) = \frac{lo g _{3} ( 2 )}{5}

Apply log rules

x = 1 0^{\frac{l o g _{3} ( 2 )}{5}}

Verify Solutions:

x = 1 0^{\frac{l o g _{3} ( 2 )}{5}}

True

The solution is

x = 1 0^{\frac{l o g _{3} ( 2 )}{5}}

10 \cdot lo g_{10} (x) = - 17.9

8 = \frac{9}{t} ln (\frac{2}{t})

lo g_{2} (x^{2} - 6 x) - 6 = - 2

ln (5) = x + ln (x - 5) + 10

0.44 = lo g_{2} (x)

What is the answer to 5log_{10}(x)=log_{3}(2) ?
The answer to 5log_{10}(x)=log_{3}(2) is x=10^{(log_{3}(2))/5}
Solve for x: 5log_{10}(x)=log_{3}(2)
The solution is x=10^{(log_{3}(2))/5}