#1
What is the solution to the exponential equation 2^x = 16?
#2
Solve the logarithmic equation log₃(81) = x.
#3
What is the base of the natural logarithm (ln)?
#4
Solve the exponential equation 4^(x-1) = 16.
#5
Solve the logarithmic equation log₂(x) + log₂(x + 4) = 3.
#6
What is the value of log₄(√16)?
#7
Solve the logarithmic equation log₅(2x + 1) + log₅(x) = 2.
#8
If log₅(x) = 2, what is the value of x?
#9
Solve the exponential equation 3^(2x) = 27.
#10
Evaluate the logarithmic expression log₇(49) + log₇(7) - log₇(343).
#11
If e^(2x) = 16, what is the value of x?
#12