Evaluate , without calculator, the logarithmic expression:
 log₂₅ 5

Solve for x in the logarithmic equation:
log₃ (1/(x + 1)) = 2

Evaluate :

Simplify without calculator: ((3^-1 - 9^-1) / 6)^1/3

Find the value of x if 

Find the value of Y

log y - log (y-1) = log 3

Solve for x
 4 ^{2x + 1} = 16 

If log 4 = 0.6021,

evaluate:
log 40 + log 400

If log_x(1 / 8) = -3 / 4, than what is x?

Simplify

Given that
log_b2 = 0.693 and
log_b5 = 1.609,

evaluate: log_b62.5

Evaluate:

If
a =  x^1/n,
log_axⁿ is

Simplify :

(0.064)^-1/3

Find constant A such that log₃ x = A log₅x , for all x > 0.

Solve for x : 

5(2 ^x-3) = 160

Solve for x the equation 4^{x - 2} = 3^{x + 4}

Which of the following is not a factor of 

 13⁴ – 5⁴?

Evaluate:

log √40 + log √2 - log√8

Solve for x the  exponential equation: 
 3 ^x = 9

Evaluate:

  (3⁰ - 9^-1/2)^-3

Find the value of x if 

4 log x + 5 log x - 7 log x = log 16

Solve for x
0.01 ^x = 100

Solve for n :

log₂5 + log₂6 + log₂n = 1

Solve for x the equation ln (x - 1) + ln (2x - 1) = 2 ln (x + 1)