Question

solve for x
${x}^{ log_{3}(x) } = 9$
​

Answer 1

Step-by-step explanation:

x

log

3

x

=9

Taking log as base 3 on both sides.

log

3

x

log

3

x

=log

3

9

log

3

xlog

3

x=log

3

(3)

2

(log

3

x)

2

=2

log

3

x=

2

Taking antilog on both sides (Base 3)

x=3

2