4B Solving Exponential Equations using Logs

Solve:  $7^x=12$ 
Round your answer to two decimal places.

Solve:  $10^{3x}-1=5$  
Round your answer to two decimal places.

Solve:  $3^{x+5}=15$  
Round your answer to two decimal places.

 $4^{2x}=32$  

Select all equations that are equivalent to the equation given above.

•  $2^{4x}=2^5$  

•  $8^x=32$  

•  $16^x=32$  

•  $\left(4\right)^{2x}=2\cdot\left(4\right)^2$  

Solve $82\cdot\left(3^{2x-4}\right)-110=557$ .  Round your answer to the nearest tenth.  

• 1.8

• 2.9

• 3.5

• 3.9

Solve $4\cdot\left(3^x\right)=26$  for x.

• 0.3

• 1.7

• 1.3

• 2.2

Solve $3\cdot\left(2\right)^{x+3}-1=8$ .  Round your answer to two decimal places, the hundredths place.

Mathematical Equivalence

ON

Solve for x. 

 $3^{\left(n-7\right)}-3=24$  

• 3

• 8

• 10

• No solution

Solve for x using logs: 5(4)^x-2 - 29 = 6

• -.5609

• 3.4036

• 2.0674

• -1.0753