Solve for b 8 to the power of b-1=2 to the power of 4b+4 or if it is easier for you to understand this way 8^b-1=2^4b+4

b = - 7

Step-by-step explanation:

note that 8 = 2³, hence

( 2³)^(b - 1) =

since the bases on both sides of the equation are 2, equate the exponents

4b + 4 = 3b - 3 ( subtract 3b from both sides )

b + 4 = - 3 ( subtract 4 from both sides )

b = - 7

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.