What is the answer to log_{8}(7-5w)+2= 11/3 ?

The answer to log_{8}(7-5w)+2= 11/3 is w=-5

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log_{8}(7-5w)+2= 11/3

lo g_{8} (7 - 5 w) + 2 = \frac{11}{3}

w = - 5

Solution steps

lo g_{8} (7 - 5 w) + 2 = \frac{11}{3}

Move

2

to the right side

lo g_{8} (7 - 5 w) = \frac{5}{3}

Apply log rules

7 - 5 w = 32

Solve

7 - 5 w = 32 : w = - 5

w = - 5

Verify Solutions:

w = - 5

True

The solution is

w = - 5

lo g_{4} (\frac{7}{x}) = 3

lo g_{5} (3 x + 10) = 2

ln (x) + ln (x - 1) = 3

lo g_{x} (6) = 5

lo g_{8} (x^{2} - 7 x) = 1

What is the answer to log_{8}(7-5w)+2= 11/3 ?
The answer to log_{8}(7-5w)+2= 11/3 is w=-5
Solve for w: log_{8}(7-5w)+2= 11/3
The solution is w=-5