Logs & Exponentials!
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Solving Exponential Equations
Solving Log Equations
100

Write the exponential equation (1/2)-3=8 in logarithmic form.

What is log1/28 = -3?

100

State the transformation(s) needed to graph y = log x - 4 from its parent graph?

What is shift down 4 ?

100

Mary invested $2700 at 5.2% interest compounded quarterly. Find out how much money is in her account after 7 years.

What is $3876.40?

100

Solve: 82x=8x+7

What is x=7?

100

Solve: log x = 3

What is 1000?

200

Without a calculator, simplify the expression: log644

What is 1/3?

200

State the transformation(s) needed to graph 

y =2 log x  from its parent graph?

What is a vertical stretch by a factor of 2

200

If $500 is invested at 7% interest in an account compounded continuously, find the length of time it take for the account to reach a balance of $1250. Round your answer to 1 decimal place.

What is 13.1 years?

200

Solve: 25x-4=53x+1

What is x=-9 ?

200

log3 (x-3) = 5

What is x = 246 ?

300

Simplify ln e3x

What is 3x ?

300

State the transformation(s) needed to graph 

y = log (x - 4) from its parent graph?

What is a horizontal shift to the right 4 spaces? 

300

James has two investment opportunities.  Which is a better deal?

Deal A:  Compounded Quarterly at 3.85%

Deal B:  Compounded Continously at 3.83%

What is Deal B?

300

Solve: e2x=7

What is 0.973?

300

Solve: ln x = 4 Round your answer to 3 decimal places.

What is x= 54.598 ?

400

Condense log 5 + log x - 3 

What is log (5x - 15)?

400

State the y-intercept of y = 3x+2 - 5

What is (0,4)?

400

Find the length of time that it will take to have a balance of $4000 in your account if you invest $1000 at an interest rate of 6.5% compounded monthly.

What is 4.4 years ?

400

Solve: 3e3 - x= 15 Round your answer to 3 decimal places.

What is x= 1.39 ?

400

Solve: 3 ln x - 7 = 4 Round your answer to 3 decimal places.

What is x= 39.121 ?

500

Expand & simplify log (3x4)2

What is log 9 + 8 log x?

500

State the x-intercept of 

8x+2 - 5 = -3

What is x = -5/3?

500
What is the growth rate of a deal that offers 4.2% growth compounded daily rounded to the nearest thousandth?

What is 1.043?

500

Solve: 52x+1 + 2 = 4 Round your answer to 3 decimal places.

What is x = -0.285 ?

500

Solve: log2(2x + 6) – log2(2x) = 3

What is x=3/7 or x = 0.429?

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