SOLUTION: How do you solve problems like 27^(2-x)=(1/3)?

Algebra.Com
Question 543180: How do you solve problems like 27^(2-x)=(1/3)?
Answer by jpg7n16(66)   (Show Source): You can put this solution on YOUR website!

To solve this, you can use the ln(x) function. We know that:

What that means is, if you apply the natural log function to both sides of the equation - you can just bring the exponent down in front like so:

Which makes your problem much easier to work with.
becomes

How to solve:






RELATED QUESTIONS

how do you solve problems like 12(2/3)? (answered by tommyt3rd)
how do you do problems like these... (answered by Alan3354)
How do you solve problems like this? 324=4(3^n-1) thank... (answered by nerdybill,malaydassharma)
how do you do problems like... (answered by stanbon)
how do you solve... (answered by Fombitz)
how do you solve -27^-2/3 (answered by Edwin McCravy,mccravyedwin)
how do you solve a problem like, Y=3X-2 when... (answered by stanbon)
how do you solve 1/27=... (answered by jim_thompson5910)
How do you... (answered by stanbon)