Free Printable Exponential form <--> Logarithmic Form

1.

For $\log1000=3$ , which value is the base?

a)

$1000$

b)

$3$

c)

$10$

d)

$\log$

2.

The base for the natural logarithm, ln, is always:

a)

$10$

b)

$e$

c)

$2$

3.

For $\log_5625=4$ , which value is the exponent?

a)

$5$

b)

$625$

c)

$4$

d)

$\log$

4.

What is $\log100$ in exponential form?

a)

$e^2=100$

b)

$10^2=100$

c)

$100^2=10$

d)

$10^x=100$

5.

What is $\log_28=3$ in exponential form?

a)

$2^8=3$

b)

$8^2=3$

c)

$3^2=8$

d)

$2^3=8$

6.

What is $\log_3x=55$ in exponential form?

a)

$55^x=3$

b)

$x^3=55$

c)

$3^{55}=x$

d)

$x^3=55$

7.

What is $\ln30=x$ in exponential form?

a)

$e^x=30$

b)

$x=30$

c)

$x^{30}=e$

d)

$30^x=e$

8.

What is $3^2=9$ in logarithmic form?

a)

$\log_93=2$

b)

$\log_23=9$

c)

$\log_32=9$

d)

$\log_39=2$

9.

What is $e^{0.012}=1.01207$ in logarithmic form?

a)

$\ln1.01207=0.012$

b)

$\log1.01207=0.012$

c)

$\ln0.012=1.01207$

d)

$\ln e=0.012$

10.

What is $x^{12}=9$ in logarithmic form?

a)

$\log_912=x$

b)

$\log_{12}9=x$

c)

$\log_x9=12$

d)

$\log_x12=9$

11.

What is $5^e=79.432$ in logarithmic form?

a)

$\log_e79.432=5$

b)

$\log_579.432=e$

c)

$\ln5=79.432$

d)

$\log_5e=79.432$

12.

What is $10^{10}=10,000,000,000$ in logarithmic form?

a)

$\log10=10,000,000,000$

b)

$\log10,000,000,000=10$

c)

$\log_{10,000,000,000}=10$

d)

$\log_{10}10=10$

Exponential form <--> Logarithmic Form

Total questions: 12

Worksheet time: 6mins

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