Math Questions and Answers

Start Your Free Trial

solve exponential equation find x if 8^(6x+5)-2/8=0

Expert Answers info

Tushar Chandra eNotes educator | Certified Educator

calendarEducator since 2010

write12,545 answers

starTop subjects are Math, Science, and Business

The equation to be solved is 8^(6x+5)-2/8=0

8^(6x+5) = 2/8

=> 2^3^(6x...

(The entire section contains 36 words.)

Unlock This Answer Now


check Approved by eNotes Editorial


giorgiana1976 | Student

We'll write 8 and 4 as powers of 2:

2^3(6x+5) = 1/2^2

We'll apply the rule of negative power:

1/a^b = a^-b

2^3(6x+5) = 2^-2

Since the bases are matching, we'll apply one to one rule and we'll put equal the exponents.

3(6x+5) = -2

We'll remove the brackets:

18x + 15 + 2 = 0

We'll combine like terms:

18x + 17 = 0

We'll subtract 17 and we'll divide by 18:

x = -17/18

check Approved by eNotes Editorial