Question

How do you solve `Log x = 5 Log 4`?

Answer 1

`x=1024`

Explanation:

`1`. Use the log property, `log_color(purple)bcolor(red)m^color(blue)n=color(blue)n*log_color(purple)bcolor(red)m`, to rewrite `5log4`.

`logx=5log4`

`logx=log4^5`

`2`. Since the equation now follows a "`log=log`" situation, where the bases are the same on both sides, rewrite the equation without the "log" portion.

`x=4^5`

`3`. Solve for `x`.

`color(green)(|bar(ul(color(white)(a/a)x=1024color(white)(a/a)|)))`