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

The answer to 2log_{5}(2x-3)=8 is x=314

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

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

x = 314

Solution steps

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

Divide both sides by

2

lo g_{5} (2 x - 3) = 4

Apply log rules

2 x - 3 = 625

Solve

2 x - 3 = 625 : x = 314

x = 314

Verify Solutions:

x = 314

True

The solution is

x = 314

ln (8 x) = 0

9 + 8 ln (x) = 25

6 ln (8 x + 1) - 14 = 28

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

lo g_{0.3} (5 + 2 x) = 1

What is the answer to 2log_{5}(2x-3)=8 ?
The answer to 2log_{5}(2x-3)=8 is x=314
Solve for x: 2log_{5}(2x-3)=8
The solution is x=314