What is the answer to 2log_{10}(x)=log_{10}(4x+5) ?

The answer to 2log_{10}(x)=log_{10}(4x+5) is x=5

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2log_{10}(x)=log_{10}(4x+5)

2 lo g_{10} (x) = lo g_{10} (4 x + 5)

x = 5

Solution steps

2 lo g_{10} (x) = lo g_{10} (4 x + 5)

Apply log rules

x^{2} = 4 x + 5

Solve

x^{2} = 4 x + 5 : x = 5, x = - 1

x = 5, x = - 1

Verify Solutions:

x = 5

True

, x = - 1

False

The solution is

x = 5

lo g_{10} (x^{2} - 1) = 2

lo g_{10} (n) = 60000000

lo g_{a} (1296) = 4

y, ln (y) - ln (1 - y) = x

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

What is the answer to 2log_{10}(x)=log_{10}(4x+5) ?
The answer to 2log_{10}(x)=log_{10}(4x+5) is x=5
Solve for x: 2log_{10}(x)=log_{10}(4x+5)
The solution is x=5