How do you solve $4 {log}_{3} x = 28$ $4log_3x=28$ ?

Question

2156 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-17T03:53:06

$x = 2187$ $x=2187$

$4 {log}_{3} x = 28$ $4log_3x=28$

$\Leftrightarrow {log}_{3} x = \frac{28}{4} = 7$ $hArrlog_3x=28/4=7$

$\Leftrightarrow x = 3^{7}$ $hArrx=3^7$ or

$x = = 3^{7} = 2187$ $x==3^7=2187$

Answer 2 · 2016-07-17T03:53:37

$x = 3^{7}$ $x=3^7$

Since ${log}_{3} x = 7$ $log_3 x = 7$ , this follows from the definition of logarithms.

How do you solve 4log3x=284log_3x=28?