solve for u:3(11^9u+5)=1

Question

I am so lost on this, please help

Answer 1

3(11^{9u + 5}) = 1

 

 

We can set whatever is inside the parenthesis equal to 1/3, since 3(1/3) = 1

 

11^{9u + 5} = 1/3

 

 

Log both sides of equation.

 

log11^{9u + 5} = log(1/3)

 

 

Bring the exponent down as the coefficient of the log.

 

(9u + 5)log11 = log(1/3)

 

 

Divide by log11 on both sides of equation.

 

9u + 5 = -0.458

 

 

Subtract 5 on both sides of equation.

 

9u = -5.458

 

u = -0.606