What is the answer to 2log_{10}(x)log_{10}(x+6)=0 ?

The answer to 2log_{10}(x)log_{10}(x+6)=0 is x=1

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2log_{10}(x)log_{10}(x+6)=0

2 lo g_{10} (x) lo g_{10} (x + 6) = 0

x = 1

Solution steps

2 lo g_{10} (x) lo g_{10} (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

lo g_{10} (x) = 0 or lo g_{10} (x + 6) = 0

Solve

lo g_{10} (x) = 0 : x = 1

Solve

lo g_{10} (x + 6) = 0 : x = - 5

Verify Solutions:

x = 1

True

, x = - 5

False

The solution is

x = 1

x, 3 + 4 lo g_{x} (4) = 5

4 ln (x - 7) = - 8

x, ln (x - y) = - 0.5

ln (x) + ln (4 x) = 5

ln (x) + ln (4 x) = 6

What is the answer to 2log_{10}(x)log_{10}(x+6)=0 ?
The answer to 2log_{10}(x)log_{10}(x+6)=0 is x=1
Solve for x: 2log_{10}(x)log_{10}(x+6)=0
The solution is x=1