Question

Solve log x/log 9 = log 729/log 81​

Answer 1

log x - log 9 = log 729 - log 81

log x - log 9 = 2 log 27 - 2 log 9

log x = 2 log 27 - log 9

log x = 6 log 3 - 2 log 3

log x = 4 log 3

x = (3)^4

Answer 2

Step-by-step explanation:

log x/log 9 = log 729/log 81

log x/ log 3²= log 3⁶/ log 3⁴

log x/ 2 log 3= 6log 3/ 4log 3 ....( Law of exponent ) ...... (eliminate log 3 from numerator and denominator)

$\frac{logx}{log 3} = \frac{6 \times 2}{4} \\ \frac{logx}{log 3} = 3 \\ log \: x \: = 3log 3 \\ logx = log {3}^{3} \\ logx = log 9 \\ x = 9$