What is the answer to log_{10}(15-2x)=2log_{10}(x) ?

The answer to log_{10}(15-2x)=2log_{10}(x) is x=3

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log_{10}(15-2x)=2log_{10}(x)

lo g_{10} (15 - 2 x) = 2 lo g_{10} (x)

x = 3

Solution steps

lo g_{10} (15 - 2 x) = 2 lo g_{10} (x)

Apply log rules

15 - 2 x = x^{2}

Solve

15 - 2 x = x^{2} : x = 3, x = - 5

x = 3, x = - 5

Verify Solutions:

x = 3

True

, x = - 5

False

The solution is

x = 3

2 x ln (x) + x = 0

lo g_{10} (x) + lo g_{10} (20) = 3

lo g_{x} (1000) = 3

lo g_{2} (2^{x + 1} - 322) = x

ln (y - 1) = 1 + ln (3 y + 2)

What is the answer to log_{10}(15-2x)=2log_{10}(x) ?
The answer to log_{10}(15-2x)=2log_{10}(x) is x=3
Solve for x: log_{10}(15-2x)=2log_{10}(x)
The solution is x=3