Free Printable Solving Exponential/Logarithmic Equations

1.

Solve the equation for x

a)

1.771

b)

0.5646

c)

1.6203

d)

1.8456

2.

Solve for x

a)

-0.659

b)

-0.528

c)

-2.159

d)

-0.478

3.

Solve for x.
e^x+6 + 5 = 1

a)

-4.614

b)

-4.236

c)

No Solution

d)

-0.334

4.

What is the solution of $3e^{2x}+1=5$ ?

a)

$x\approx0.131$

b)

$x\approx0.187$

c)

$x\approx0.151$

d)

$x=0.144$

5.

The first step to solve 8 + log 7 = 10 is...

a)

Rewrite exponentially

b)

Subtract 8 on both sides to isolate the log

c)

Divide by 7 on both sides

6.

Solve the equation for x.

a)

998

b)

-1.523

c)

0.477

d)

0

7.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

8.

Solve for x.
$\log_3\left(7\right)+\log_3\left(2x\right)=2$

a)

$-\frac{9}{8}$

b)

$\frac{13}{2}$

c)

$\frac{9}{14}$

d)

$\frac{9}{40}$

9.

Log with a base "e" (log_e) is the same thing as...

a)

"e"

b)

Natural Logarithm (LN)

c)

Common Logarithm (Log)

d)

Natural Log, base "e"
LN_e

10.

lnx = -3

a)

8.1548

b)

-8.1548

c)

0.0498

d)

-0.0498

11.

Solve the equation for x.

a)

7.389

b)

0.693

c)

0.0183

d)

6.581

12.

Solve for x:
5 ln (3x - 2) = 15

a)

x = 1.24

b)

x = 7.36

c)

x = 217,935.16

d)

x = 6.03

13.

How much money would need to be invested today if you want $40,000 in 18 years at 4.5% if compounded continuously.

a)

$19,923.22

b)

$17,794.32

c)

$89,916.32

d)

$1 Bob

Solving Exponential/Logarithmic Equations

Total questions: 13

Worksheet time: 59mins

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