SOLUTION: Find y in terms of x when 2logarithm of y to base 3 - 4 = 3logarithm of (x+2) to base 3

Algebra.Com
Question 1179267: Find y in terms of x when 2logarithm of y to base 3 - 4 = 3logarithm of (x+2) to base 3
Answer by greenestamps(13214)   (Show Source): You can put this solution on YOUR website!






So the equation is



Write the "4" as

Then



Now use rules of logarithms to write the expression on the left as a single logarithm. The equation is now of the form , which means A=B.

You should be able to finish from there.


RELATED QUESTIONS

Find y in terms of x when 2log of y to base 3 - 4 = 3log of (x+2) to base... (answered by MathLover1)
Find y in terms of x when 2log of y to base 3 - 4 = 3log of (x+2) to base... (answered by ewatrrr)
If log of (y + 1) to base 2 = 2log of x + c to base 2 and y = 3 when x = 2, find y in... (answered by greenestamps)
2Log Y base 3 + 2Log X base 3= 4, find y in terms of x? (answered by jsmallt9)
Express y in terms of x log base 2 y - log base 2 x = 3 + log base 2... (answered by nerdybill)
Express y in terms of x log base 4 y=log base 2 x+log base 2 9 - log base 2... (answered by jsmallt9)
if log base 4 of 5 = x and log base 4 of 3 = y, express log base 4 of (125/sqrt3) in... (answered by lwsshak3)
Find x in terms of y if log(y+2)base a=1+logx base... (answered by josgarithmetic,greenestamps)
If 2 log (base 3) y - 3 log (base 3) x - log (base 3) b + log (base 3) a = 3, express y... (answered by stanbon,jsmallt9)