SOLUTION: Hi Sir/Ma'am, Please assist. I am helping my daughter who is in high school. I bought the algebrator program but it does not solve this equation: 6*6^3x=36*6^x The book

SOLUTION: Hi Sir/Ma'am, Please assist. I am helping my daughter who is in high school. I bought the algebrator program but it does not solve this equation: 66^3x=366^x The book

Question 155813: Hi Sir/Ma'am,
Please assist.
I am helping my daughter who is in high school. I bought the algebrator program but it does not solve this equation:
6*6^3x=36*6^x
The book has the answer as x = 1/2 but I cannot get it.
I get x=3. What I have done is 6*6^3x divided by 36*6X equals 0
I simplyfy it and get 1*3x divided by 6*x equals 0
then transpose the 1/6 to get 2x=6
then x = 3
I forced the answer but it made no sense.
The books name is MATHEMATICS A COMPLETE COURSE WITH C.X.C QUESTIONS VOLUME 2. It has no ISBN. The author is Raymond Toolsie B Sc , MACP Published by CARIBBEAN EDUCATIONAL PUBLISHERS LTD PAGE 701 QUESTION 13 B

Please help
Reuel
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rewrite as

Rewrite as

Multiply the monomials by adding the exponents.

Since the bases are equal, this means that the exponents are equal. So this means that

Set the exponents equal to one another

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

----------------------------------------------------------------------

Answer:

So the answer is which in decimal form is .

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