How do you solve #5 * 18^(6x)=26#?

1 Answer
MrsRudolph221
Mar 28, 2016

You must "undo" the order of operations in reverse!

Explanation:

Step 1: Divide both sides by 5:
# 18^(6x)=(26/5)#

Step 2: Apply properties of logarithms:
#log_(18)(26/5) = 6x# (the power is the answer to a log)

Step 3: Use a calculator to evaluate the left side:
#.570397= 6x#

Step 4: Divide both sides by 6:
#.095066=x#

Related questions
See all questions in Logarithmic Models
Impact of this question
7888 views around the world
You can reuse this answer
Creative Commons License