What is the answer to aln(2)= a/4 ln(a) ?

The answer to aln(2)= a/4 ln(a) is a=16

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aln(2)= a/4 ln(a)

a ln (2) = \frac{a}{4} ln (a)

a = 16

Solution steps

a ln (2) = \frac{a}{4} ln (a)

Switch sides

\frac{a}{4} ln (a) = a ln (2)

Multiply both sides by

4

a ln (a) = 4 a ln (2)

Move

4 a ln (2)

to the left side

a ln (a) - 4 a ln (2) = 0

Factor

a ln (a) - 4 a ln (2) : a (ln (a) - 4 ln (2))

a (ln (a) - 4 ln (2)) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or ln (a) - 4 ln (2) = 0

Solve

ln (a) - 4 ln (2) = 0 : a = 16

Verify Solutions:

a = 0

False

, a = 16

True

The solution is

a = 16

lo g_{10} (9 x + 1) = 3

lo g_{32} (4) = lo g_{2} (x)

lo g_{3} (x) = \frac{3}{2}

lo g_{16} (X) = \frac{3}{4}

4.35 = - lo g_{10} (x)

What is the answer to aln(2)= a/4 ln(a) ?
The answer to aln(2)= a/4 ln(a) is a=16
Solve for a: aln(2)= a/4 ln(a)
The solution is a=16