What is the answer to solvefor x,3+4log_{x}(4)=5 ?

The answer to solvefor x,3+4log_{x}(4)=5 is x=16

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solvefor x,3+4log_{x}(4)=5

solve for

x, 3 + 4 lo g_{x} (4) = 5

x = 16

Solution steps

3 + 4 lo g_{x} (4) = 5

Move

3

to the right side

4 lo g_{x} (4) = 2

Divide both sides by

4

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

Apply log rules

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

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

Simplify

2 = lo g_{4} (x)

Apply log rules

16 = x

Switch sides

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

4 ln (x - 7) = - 8

x, ln (x - y) = - 0.5

ln (x) + ln (4 x) = 5

ln (x) + ln (4 x) = 6

ln (3 x) - 10 = - 8

What is the answer to solvefor x,3+4log_{x}(4)=5 ?
The answer to solvefor x,3+4log_{x}(4)=5 is x=16