What is the answer to -6+log_{10}(x-1)=log_{10}(5) ?

The answer to -6+log_{10}(x-1)=log_{10}(5) is x=5000001

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-6+log_{10}(x-1)=log_{10}(5)

- 6 + lo g_{10} (x - 1) = lo g_{10} (5)

x = 5000001

Solution steps

- 6 + lo g_{10} (x - 1) = lo g_{10} (5)

Move

6

to the right side

lo g_{10} (x - 1) = lo g_{10} (5) + 6

Apply log rules

x - 1 = 5000000

Solve

x - 1 = 5000000 : x = 5000001

x = 5000001

Verify Solutions:

x = 5000001

True

The solution is

x = 5000001

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

0 = lo g_{2} (3 x - 4) + 1

ln (2 x) + ln (4 x) = 0

ln (x) = 1 - ln (x - 3)

2 ln (x) - ln (x + 5) = ln (x) - ln (3)

What is the answer to -6+log_{10}(x-1)=log_{10}(5) ?
The answer to -6+log_{10}(x-1)=log_{10}(5) is x=5000001
Solve for x: -6+log_{10}(x-1)=log_{10}(5)
The solution is x=5000001