What is the answer to log_{10}(8x)= 2/3 ?

The answer to log_{10}(8x)= 2/3 is x=(5^{2/3})/(2^{7/3)}

Solve for x: log_{10}(8x)= 2/3

The solution is x=(5^{2/3})/(2^{7/3)}

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lo g_{10} (8 x) = \frac{2}{3}

x = \frac{5 ^{\frac{2}{3}}}{2 ^{\frac{7}{3}}}

Solution steps

lo g_{10} (8 x) = \frac{2}{3}

Apply log rules

8 x = 1 0^{\frac{2}{3}}

Solve

8 x = 1 0^{\frac{2}{3}} : x = \frac{5 ^{\frac{2}{3}}}{2 ^{\frac{7}{3}}}

x = \frac{5 ^{\frac{2}{3}}}{2 ^{\frac{7}{3}}}

lo g_{m} (6) = \frac{1}{2}

1 - 8 ln (\frac{2 x - 1}{7}) = 14

80 = 29.499 \cdot ln (x) - 82.679

24 = 10 lo g_{10} (x)

ln (\frac{1}{x ^{2}}) + ln (x) = 4

What is the answer to log_{10}(8x)= 2/3 ?
The answer to log_{10}(8x)= 2/3 is x=(5^{2/3})/(2^{7/3)}
Solve for x: log_{10}(8x)= 2/3
The solution is x=(5^{2/3})/(2^{7/3)}