What is the answer to log_{2}(5x)+3=8 ?

The answer to log_{2}(5x)+3=8 is x= 32/5

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log_{2}(5x)+3=8

lo g_{2} (5 x) + 3 = 8

x = \frac{32}{5}

Solution steps

lo g_{2} (5 x) + 3 = 8

Move

3

to the right side

lo g_{2} (5 x) = 5

Apply log rules

5 x = 32

Solve

5 x = 32 : x = \frac{32}{5}

x = \frac{32}{5}

Verify Solutions:

x = \frac{32}{5}

True

The solution is

x = \frac{32}{5}

lo g_{\frac{1}{2}} (x) = 0

lo g_{\frac{1}{2}} (x) = 1

3 + 2 ln (x) = 4

lo g_{a} (x) = 2

5.8 = - lo g_{10} (x)

What is the answer to log_{2}(5x)+3=8 ?
The answer to log_{2}(5x)+3=8 is x= 32/5
Solve for x: log_{2}(5x)+3=8
The solution is x= 32/5