Exponential Equations
The Natural Base e
Find the inverse
Evaluate the Log
Solving Exponential and Logarithmic Equations
100

Solve for x

43x+1=8x-1

x=-5/3

100

Simplify the expression

27e7/3e4

9e3

100

82/3=4


log84=2/3

100

log273

1/3

100

Solve for x.

log(5x-1) = log(20-x)


x=7/2

200

The y value is rounded to the nearest tenth, solve for x

76.5=x(1.15)8

x=25

200

7007.07=Pe.05*10

Solve for x

x=4250

200

log1212=1

121=12

200

ln 0.75

-.2877

200

Solve for x. Write your answer in log form.

6x = 42


x=log642

300

The Compound Interest Formula is A(t)=P(1+r/n)nt

You deposit 8,500 into an account that pays 1.80% annual interest. Find the balance after 7 years when the interest in compounded semi-annually.

$9050.18

300

You deposit $10,000 into an account that pays 6% interest, compounded continuously. Find the balance after 10 years.

$18,221.19

300

log41=0

40=1

300

log464

3

300

Solve for x. 

log(x+2) + log(8) = 2

x=21/2

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