Question

2log (x +3) = log 81 ,then find x​

Answer 1

Answer:

log (x+3)^2=log81

(x+3)^2=81

x+3=root81

x+3=9

x=6

Answer 2

Let's solve your equation step-by-step.

$2(log(x+3))=log(81)$

$2(log(x+3))=1.908485$

Step 1: Divide both sides by 2.

$\frac{2(log(x+3))}2=\frac{1.908485}{2}$

$log(x+3)=0.954243$

Step 2: Solve Logarithm.

$log(x+3)=0.954243$

(Take exponent of both sides)

$10^{log(x+3)} =10^{0.954243}$

$x+3=10^{0.954243}$

$x+3=9$

(Subtract 3 from both sides)

$x+3-3=9-3$

$x=6$

∴ $x=6$