Solve For x

[nycmathguy]

Review

 

[MathLover1]

..........convert to same base

...if base same, exponents are same too

 

[HallsofIvy]

8^{x- 3}= (2^3)^{x- 3}= 2^{3x- 9} NOT 2^{2x- 6}
so the next line is
2^{5x- 7}= 2^{12x- 28}

5x- 7= 12x- 28
-7+ 28= 12x- 5x
21= 7x
x= 3!

 

[MathLover1]

8^{x- 3}= (2^3)^{x- 3}= 2^{3x- 9} NOT 2^{2x- 6}
so the next line is
2^{5x- 7}= 2^{12x- 28}

5x- 7= 12x- 28
-7+ 28= 12x- 5x
21= 7x
x= 3!

thanks!!!!! evidently I need new glasses

 

[MathLover1]

..........convert to same base

...if base same, exponents are same too

doing one correction

5x-7=12x-28
28-7=12x-5x
21=7x
x=3

 

[nycmathguy]

8^{x- 3}= (2^3)^{x- 3}= 2^{3x- 9} NOT 2^{2x- 6}
so the next line is
2^{5x- 7}= 2^{12x- 28}

5x- 7= 12x- 28
-7+ 28= 12x- 5x
21= 7x
x= 3!

Thank for your help.

 

[nycmathguy]

doing one correction

5x-7=12x-28
28-7=12x-5x
21=7x
x=3

I appreciate the correction. Nicely-done.