What is the answer to 2log_{5}(5x)-1=11 ?

The answer to 2log_{5}(5x)-1=11 is x=3125

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2log_{5}(5x)-1=11

2 lo g_{5} (5 x) - 1 = 11

x = 3125

Solution steps

2 lo g_{5} (5 x) - 1 = 11

Move

1

to the right side

2 lo g_{5} (5 x) = 12

Divide both sides by

2

lo g_{5} (5 x) = 6

Apply log rules

5 x = 15625

Solve

5 x = 15625 : x = 3125

x = 3125

Verify Solutions:

x = 3125

True

The solution is

x = 3125

lo g_{10} (2) + lo g_{10} (x) = 2

ln (7) + ln (x + 3) = lo g_{e} (2 x + 6)

lo g_{a} (3) = 7

x, f^{- 1} (x) = ln (x + 3)

8 + ln (8 x) = 26 - 2 ln (x)

What is the answer to 2log_{5}(5x)-1=11 ?
The answer to 2log_{5}(5x)-1=11 is x=3125
Solve for x: 2log_{5}(5x)-1=11
The solution is x=3125