What is the answer to log_{5}(x-1)+4=0 ?

The answer to log_{5}(x-1)+4=0 is x= 626/625

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log_{5}(x-1)+4=0

lo g_{5} (x - 1) + 4 = 0

x = \frac{626}{625}

Decimal Notation

x = 1.0016

Solution steps

lo g_{5} (x - 1) + 4 = 0

Move

4

to the right side

lo g_{5} (x - 1) = - 4

Apply log rules

x - 1 = \frac{1}{625}

Solve

x - 1 = \frac{1}{625} : x = \frac{626}{625}

x = \frac{626}{625}

Verify Solutions:

x = \frac{626}{625}

True

The solution is

x = \frac{626}{625}

ln (k) = - 14.648

- 5.2 = lo g_{10} (x 0.0175)

ln (x + 1) - 1 = ln (x - 1)

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

2 lo g_{x} (12) = 1

What is the answer to log_{5}(x-1)+4=0 ?
The answer to log_{5}(x-1)+4=0 is x= 626/625
Solve for x: log_{5}(x-1)+4=0
The solution is x= 626/625