Logarithms

Rewrite

100

log₃ 27 in exponential form. 

What is 3^y= 27

200

10^x = 100 in log form

What is Log₁₀100 = x

300

log x = 5 in exponential form 

What is 10⁵ = x 

400

Ln 20 = x expressed in exponential form 

What is e^x = 20 

500

e³= 20 expressed as a natural log. 

What is ln 20 = 3

condense or expand

100

log 3 + log 8 expressed as a single value 

What is log 24

200

3log 2 - 2 log 2 expressed as a single value.

What is log 2

300

3 log 2 + 2 log 3 - 6 log 6 express as a single log

What is log 2 

400

log x²y³z expanded 

What is : 2log x + 3 log y + log z 

500

1/2llog 36 + 1/3 log 27 expressed as a single log. function

What is log 18

Natural logs

100

ln 3 written in exponential form 

what is e^x = 3 

200

Ln x = 8 solved 

What is e⁸

300

e^x = 10 solved

What is ln 10

400

ln 2 + ln 3 = ln x solved

What is 6

500

2 ln x + 8 = 14  solved 

What is e³

Solve equations

100

4^{x + 2} = 16^x   solved

What is 2

200

8^{x + 1} = 32^{x - 3}   solved

what is 9

300

2log₃ x = 10    solved

What is 243

400

2log₁₂ 3 + 4 log₁₂ 2 + log₁₂ x = 3   solved

What is 12

500

logx - log (x - 1) = log 8  solved

What is 8/7

Misc.

100

log₃25   to the nearest 100th 

What is 2.93

200

log 35 to the nearest 100th

What is 1.54

300

1/5 Equivalent value 

What is 5^-1

400

36^1/2 equivalent to 

What is 6

500

log₃ 1 = x   The value of x 

What is 0