What is the answer to log_{3}(9x)+log_{3}(8)=5 ?

The answer to log_{3}(9x)+log_{3}(8)=5 is x= 27/8

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log_{3}(9x)+log_{3}(8)=5

lo g_{3} (9 x) + lo g_{3} (8) = 5

x = \frac{27}{8}

Solution steps

lo g_{3} (9 x) + lo g_{3} (8) = 5

Move

lo g_{3} (8)

to the right side

lo g_{3} (9 x) = 5 - lo g_{3} (8)

Apply log rules

9 x = \frac{243}{8}

Solve

9 x = \frac{243}{8} : x = \frac{27}{8}

x = \frac{27}{8}

Verify Solutions:

x = \frac{27}{8}

True

The solution is

x = \frac{27}{8}

lo g_{6} (x + 7) + lo g_{6} (x + 4) = 2

50 = - 22.985 ln (x) + 139.23

lo g_{1000} (a) = \frac{1}{3}

y, ln (y - 47) = 6 t

lo g_{2} (x - 9) + lo g_{2} (x - 2) = 3

What is the answer to log_{3}(9x)+log_{3}(8)=5 ?
The answer to log_{3}(9x)+log_{3}(8)=5 is x= 27/8
Solve for x: log_{3}(9x)+log_{3}(8)=5
The solution is x= 27/8