Help me solve and check please?

enter image source here

2 Answers
Parabola
Dec 13, 2017

#x=-3#

Explanation:

Remember that #(x*x*x*)^y=x^(3y)#

We know that 27 is the perfect cube of 3.
Therefore,
#27^(2x+1)# becomes #3^(3(2x+1))#

Since the base of the two exponents are now the same, we can cancel them out.

Now, instead of #3^(5x)=3^(3(2x+1))#
We have #5x=6x+3#
#5x=6x+3#
#-x=3#
#x=-3#

Jim G.
Dec 13, 2017

#x=-3#

Explanation:

#"note that "27=3^3#

#rArr3^(5x)=3^(3(2x+1))#

#rArr3^(5x)=3^(6x+3)#

#"since the "color(blue)"bases are 3 on either side"#
#"we can equate the exponents"#

#rArr6x+3=5xrArrx=-3#

Related questions
Impact of this question
366 views around the world
You can reuse this answer
Creative Commons License