Question

find the value of x in this equation by using log​

Answer 1

Answer:

x=15. because x=3×5

by cancellation method cut 10 raised to 5 100,000

1. then mathematically you can cut/ignore logx, logx log/x=15.

Answer 2

Step-by-step explanation:

${x}^{ \frac{ log_{10}(x) + 5 }{3} } = {10}^{5 + log_{10}(x) }$

Taking log to the base 10 on both sides..

$\frac{ (log_{10}(x) + 5) \times log_{10}(x) }{3} = log_{10}(x ) + 5 \\ let \: log_{10}(x) =y \\ {y}^{2} + 5y = 3y + 15\\ {y}^{2} + 2y - 15 = 0 \\ (y + 5)(y - 3) = 0 \\ y = - 5 \: or \: 3 \\ log_{10}(x) = - 5 \\ x = {10}^{ - 5} \\ and \: log_{10}(x) = 3 \\ x = {10}^{3}$