What is the answer to log_{10}(16)=2log_{10}(x+1) ?

The answer to log_{10}(16)=2log_{10}(x+1) is x=3

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log_{10}(16)=2log_{10}(x+1)

lo g_{10} (16) = 2 lo g_{10} (x + 1)

x = 3

Solution steps

lo g_{10} (16) = 2 lo g_{10} (x + 1)

Switch sides

2 lo g_{10} (x + 1) = lo g_{10} (16)

Divide both sides by

2

lo g_{10} (x + 1) = \frac{lo g _{10} ( 16 )}{2}

Apply log rules

x + 1 = 4

Solve

x + 1 = 4 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

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

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

3.28 = 11.6 \cdot ln (c)

10 lo g_{7} (x - 3) = 66

ln (x^{3}) = 7

What is the answer to log_{10}(16)=2log_{10}(x+1) ?
The answer to log_{10}(16)=2log_{10}(x+1) is x=3
Solve for x: log_{10}(16)=2log_{10}(x+1)
The solution is x=3