What is the answer to 8ln(9)=ln(a)+(13-1)ln(3) ?

The answer to 8ln(9)=ln(a)+(13-1)ln(3) is a=81

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8ln(9)=ln(a)+(13-1)ln(3)

8 ln (9) = ln (a) + (13 - 1) ln (3)

a = 81

Solution steps

8 ln (9) = ln (a) + (13 - 1) ln (3)

Switch sides

ln (a) + (13 - 1) ln (3) = 8 ln (9)

Subtract the numbers:

13 - 1 = 12

ln (a) + 12 ln (3) = 8 ln (9)

Move

12 ln (3)

to the right side

ln (a) = 8 ln (9) - 12 ln (3)

Apply log rules

a = 81

Verify Solutions:

a = 81

True

The solution is

a = 81

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

lo g_{64} (x) = \frac{4}{3}

lo g_{2} (x - 1) = 2

ln (c x^{6}) = 6 ln (c) + 6 ln (x)

lo g_{10} (x^{3}) = - 2

What is the answer to 8ln(9)=ln(a)+(13-1)ln(3) ?
The answer to 8ln(9)=ln(a)+(13-1)ln(3) is a=81
Solve for a: 8ln(9)=ln(a)+(13-1)ln(3)
The solution is a=81