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

The answer to log_{10}(x+6)=log_{10}(x)+log_{10}(6) is x= 6/5

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

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

x = \frac{6}{5}

Decimal

x = 1.2

Solution steps

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

Apply log rules

x + 6 = x \cdot 6

Solve

x + 6 = x \cdot 6 : x = \frac{6}{5}

x = \frac{6}{5}

Verify Solutions:

x = \frac{6}{5}

True

The solution is

x = \frac{6}{5}

5 x + 3 ln (x - 4) = 25

lo g_{2} (\frac{x}{4}) = 1

lo g_{5} (9 - 2 x) = 2

lo g_{10} (2 x - 3) = lo g_{10} (x - 4) + 1

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

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