What is the answer to log_{3}(x+6)+log_{3}(x+24)=5 ?

The answer to log_{3}(x+6)+log_{3}(x+24)=5 is x=3

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log_{3}(x+6)+log_{3}(x+24)=5

lo g_{3} (x + 6) + lo g_{3} (x + 24) = 5

x = 3

Solution steps

lo g_{3} (x + 6) + lo g_{3} (x + 24) = 5

Apply log rules

(x + 6) (x + 24) = 243

Solve

(x + 6) (x + 24) = 243 : x = 3, x = - 33

x = 3, x = - 33

Verify Solutions:

x = 3

True

, x = - 33

False

The solution is

x = 3

12.5 = lo g_{10} (x)

2 \cdot x \cdot ln (x) + x = 0

lo g_{x} (3) = x

4 lo g_{3} (5 p - 3) - 2 = 10

- lo g_{10} (x) = 0.7

What is the answer to log_{3}(x+6)+log_{3}(x+24)=5 ?
The answer to log_{3}(x+6)+log_{3}(x+24)=5 is x=3
Solve for x: log_{3}(x+6)+log_{3}(x+24)=5
The solution is x=3