Question

Solve 7^x – 5 = 7^4x + 7

Answer 1

is it : \[\large{7^{x-5}=7^{4x+7}}\]

Answer 2

Yes it is

Answer 3

ok so since bases are same powers will be equal

that is x-5 = 4x+7

Answer 4

can u solve for x now?

Answer 5

so x=4x+13
now i divide 4 correct?

Answer 6

mistake there... check it up

7+5 is not equal to 13

Answer 7

im sorry I meant x=4x+12 so now I divide by 4 correct?

Answer 8

no don't divide by 4

subtract 4x both sides

Answer 9

okay so I got -4x= 12 now what should i do?

Answer 10

I believe I divide -4?

Answer 11

I think you did mistake again :
\[\large{x=4x+12}\]
\[\large{\color{violet}{x-4x=4x-4x+12}}\]
\[\large{\color{red}{-3x=12}}\]

Answer 12

nod divide by -3

Answer 13

so would my answer be x=-4?

Answer 14

yes right

Answer 15

Thank you so much!

Answer 16

welcome dear also:
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