Question
log(base6)3600=5x
Whats the exact answer? show work please
Whats the exact answer? show work please
Answers
Steve
5x = log<sub>6</sub>3600
5x = log<sub>6</sub>36 + log<sub>6</sub>100
5x = 2 + log<sub>6</sub>100
5x = 2 + log<sub>10</sub>100/log<sub>10</sub>6
5x = 2 + 2/log<sub>10</sub>6
5x = 2 + 2log<sub>6</sub>10
rearrange as you will
5x = log<sub>6</sub>36 + log<sub>6</sub>100
5x = 2 + log<sub>6</sub>100
5x = 2 + log<sub>10</sub>100/log<sub>10</sub>6
5x = 2 + 2/log<sub>10</sub>6
5x = 2 + 2log<sub>6</sub>10
rearrange as you will