Question

Solve for y in 1/8^2-3y=2^y-2

Answer 1

The value of y is 2.33924.

What is equation?

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

Given:

(1/8)²-3y = $2^{y}$-2

1/64 - 3y =  $2^{y}$-2

1/64+ 2 =  $2^{y}$+3y

129/2 =  $2^{y}$+3y

Taking log on both side

log 129 - log 2 = y log 2 + 3 log y

2.11 - 0.301 = 0.301 y + 3 log y

1.809 = 0.301 y + 3 log y

1.809/3= 0.1 y + log y

0.603 = 0.1 y + log y

y = $10^{\frac{603-100y}{1000}}$

y= 2.33924

Learn more about equation here:

brainly.com/question/10413253

#SPJ1