How do you solve ${log}_{3} 75 = 2 x$ $log_3 75 = 2x$ ?

Question

How do you solve ${log}_{3} 75 = 2 x$ $log_3 75 = 2x$ ?

1 Answer

Impact of this question

1838 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-27T09:48:38

${log}_{3} 75 = 2 x \Rightarrow 3^{2 x} = 75 \Rightarrow 9^{x} = 75 \Rightarrow x log 9 = log 75$ $log_3 75=2x=>3^(2x)=75=>9^x=75=>xlog9=log75$
$\Rightarrow x = \frac{log 75}{{log 3}^{2}} = \frac{log 75}{2 log 3}$ $=>x=log75/(log3^2)=log75/(2log3)$

Science

Math

Humanities

... and beyond

How do you solve ${log}_{3} 75 = 2 x$ $log_3 75 = 2x$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve log375=2xlog_3 75 = 2x?

1 Answer

Related questions

Impact of this question

How do you solve ${log}_{3} 75 = 2 x$ $log_3 75 = 2x$ ?