What is the answer to log_{2}(5x-1)=3 ?

The answer to log_{2}(5x-1)=3 is x= 9/5

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log_{2}(5x-1)=3

lo g_{2} (5 x - 1) = 3

x = \frac{9}{5}

Decimal

x = 1.8

Solution steps

lo g_{2} (5 x - 1) = 3

Apply log rules

5 x - 1 = 8

Solve

5 x - 1 = 8 : x = \frac{9}{5}

x = \frac{9}{5}

ln (x) + ln (x + 10) = 3

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

ln (x - 5) = 2

- 1 = lo g_{10} (x)

ln (x) - ln (10) = 7