Free Printable A2 7.5 Solving Exponential and Logarithmic Equations

1.

Rewrite the exponential as a log.

2^3x+1= 12

a)

ln(2)= 3x+1

b)

log₂(12)= 3x+1

c)

ln(6)=3x+1

d)

log₁₂(2)= 3x+1

2.

Solve the equation:

$5^{\left(2-3x\right)}=25$

a)

$\frac{7}{5}$

b)

$-\frac{3}{4}$

c)

$-\frac{7}{6}$

d)

$0$

3.

Solve the equation:

$4^{2x\ }=\ 7$

a)

0

b)

1.311

c)

.364

d)

.702

4.

Solve:

log₆(2x + 3) = 3

a)

x = 106.5

b)

x = 100

c)

x = 16

d)

x = 50

5.

Solve:

log₂(2) + log₂(8x) = 6

a)

x = 3

b)

x = 2

c)

x = 6

d)

x = 4

6.

Solve:

log₂(x + 3)=5

a)

x=2

b)

x=29

c)

x=7

d)

x=32

7.

a)

A

b)

B

c)

C

d)

D

8.

$\log_4\left(8x\right)+7=10$ Solve

a)

3

b)

$\frac{\log7}{\log4}$

c)

8

d)

2

9.

$\log_4x+\log_4\left(x-3\right)=1$ Solve the equation. Check your answer.

a)

$x=-4\ and\ x=1$

b)

$x=4$

c)

$x=1$

d)

$x=4\ and\ x=-1$

e)

$x=-1$

10.

Solve: $3^{2x-6}=81\$

a)

$6$

b)

$-1,\ 3$

c)

$5$

d)

$7.5$

11.

Solve:

3^{x^2+4}=\ 3^{2x+7}

a)

$-1,\ 3$

b)

$3$

c)

$-1$

d)

$2$

12.

Solve:

\log_2\left(x+1\right)+\log_24=3

a)

$1$

b)

$11$

c)

$4$

d)

$-\frac{1}{4}$

13.

Would You Rather: Be Superman Or Spiderman?

a)

Superman

b)

Spiderman

A2 7.5 Solving Exponential and Logarithmic Equations

Total questions: 13

Worksheet time: 37mins

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