Logs!
Exponential EQ's
Word Problems
Solving Exponential EQ's
Solving Log EQ's
100

Condense: log5+log2=

What is log10?

100

Write the exponential equation 4^5= 1,024 in logarithmic form.

What is log 4 1,024 = 5 ?

100

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 10% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.

What is 4831 bacteria?

100

Solve: 8 (2x)=8 (x+7)

What is x=7?

100

Solve: log x = 3

What is 1000?

200

Condense: 2log(a)-log3

What is log (a2/3)?

200

Write the exponential equation 27 (1/3) = 3 in logarithmic form.

What is log 27 3 = 1/3 ?

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour until they reach 5850 bacteria. 

What is the multiplier? Set up the equation. (don't solve)

What is 1.25? What is 5850=3000(1.25)x

200

Solve: 4(5)x=24

What is x=1.11 ?

200

log 3 x = 5

What is x = 243 ?

300

Expand: log(ab2)

What is loga+ 2logb?

300

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

What is log (1/2) 8 = -3

300

The 8 mL of ink in my pen was decreasing at a rate of 10% per word. After how many words will my ink be down to 1 mL? DON'T SOLVE! Just set up the equation!

What situation is 1=8 (0.9)x ?

300

Solve: e (2x) =e (x+4)

What is x=4?

300

Solve: 3log 2 x = 9 Round your answer to two decimal places.

What is x= 8?

400

Expand: log (a3b4/c)

What is 3loga+4logb-logc ?

400

Is the graph y= .7x increasing or decreasing, and is it a function?

What is decreasing and yes, a function?

400

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

400

Solve: 3(2)(x-4)= 15 Round your answer to two decimal places.

What is x= 6.32 ?

400

Solve: 4 log 2 (x - 7) = 16 Round your answer to two decimal places.

What is x= 23 ?

500

Condense: 3log2+2log5-log4

What is log (23x52/4) =  log(8x25/4) = log(200/4) =log(50) ?

500

Simplify log e e (3x)

What is 3x?

500

The 8 mL of ink in my pen was decreasing at a rate of 10% per word. After how many words will my ink be down to 1 mL?

What is approximately 7 words?

500

Solve: 10^(2x+1) + 2 = 4 Round your answer to two decimal places.

What is x = -0.35 ?

500

log3(4x)+5=7

What is x=2.25?

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