What is the answer to 7log_{4}(3w+1)+4=25 ?

The answer to 7log_{4}(3w+1)+4=25 is w=21

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7log_{4}(3w+1)+4=25

7 lo g_{4} (3 w + 1) + 4 = 25

w = 21

Solution steps

7 lo g_{4} (3 w + 1) + 4 = 25

Move

4

to the right side

7 lo g_{4} (3 w + 1) = 21

Divide both sides by

7

lo g_{4} (3 w + 1) = 3

Apply log rules

3 w + 1 = 64

Solve

3 w + 1 = 64 : w = 21

w = 21

Verify Solutions:

w = 21

True

The solution is

w = 21

x^{2} = e^{2 l n (x)}

3.65 = 5 - lo g_{10} (x)

ln (3 x + 1) = 7.492

2 + ln (t - 5) = 2.5

- lo g_{10} (x) = 1.3

What is the answer to 7log_{4}(3w+1)+4=25 ?
The answer to 7log_{4}(3w+1)+4=25 is w=21
Solve for w: 7log_{4}(3w+1)+4=25
The solution is w=21