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How to solve 2^x = 22.5?
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4 votes
How to solve 2^x = 22.5?

User William Remacle
by
8.1k points

2 Answers

3 votes
take the ln of both sides
remember
ln(a^x)=xln(a)
so

ln(2^x)=ln(22.5)
xln(2)=ln(22.5)
divide both sides by ln2
x=ln(22.5)/ln(2)
if you want to evaluate
use calculator
x=4.49185
User Donette
by
8.2k points
6 votes
x=4.491853 is the answer
User Bdumitriu
by
8.4k points
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