Exponentials and Logs Review

Simplify the expression:

 $\log_7\left(\frac{1}{49}\right)$  

Solve

 $\log_6\left(x+3\right)\ +\ \log_6\left(x+4\right)\ =\ 1$  

If $5500 is invested in an account paying 3.2% interest compounded quarterly, how much will be in the account after 10 years? (Round to the nearest cent)

Simplify the expression:

 $9^{\log_{ }100}$  

Solve the following.  Write your answer as a decimal.

 $2^{\left(x+1\right)}\ \cdot\ 8^{-x}\ =\ 4$  

A car loses value at a rate of 6.4% per year. If the car initially cost $45,000, find the value of the car after 4 years. (Round to the nearest cent.)

Simplify

 $\log_7\sqrt{7}$  

Simplify

 $\log_{ }1$