How do you solve #2(1+0.1)^x=50#?

1 Answer
Jim G.
Jan 22, 2017

#x≈33.77" to 2 dec. places"#

Explanation:

Isolate the exponential by dividing both sides by 2

#rArr(1.1)^x=25#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))#

Take ln ( natural log) of both sides.

#rArrln(1.1)^x=ln25#

#rArrxln(1.1)=ln25#

#rArrx=(ln25)/(ln1.1)≈33.77" to 2 decimal places"##

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