Surds, Indices and Logarithm

For what value of x is 8^{2x - 4} = 16^x?

(0.8)^{- 5}/(.4)^{- 4} = ?

5^{- 3} + 5^{- 3}  + 5^{- 3} + 5 ^{- 3} + 5 ^{- 3} =

Evaluate 4⅓−2⅚

if log_x 1/216 = - 3, then x = ?

3^x + 3^x + 3^x = ?

If log 2 = 0.3010 and log3 = 0.4771. What is the value of log₅1024 ?

If f(x) = 10^x , then f^-1(x) = ?

(0.04)² ÷ (0.008) × (0.2)⁶ = (0.2)^?

What is the simplified value of (a⁴b³)²?

(289)^0.17 × (17)^0.16 = ?

If a, b and c are not equal to 0 or 1 and if a^x = b, b^y = c and c^z = a, then xyz is-

If (1/5)^3y = 0.008, then find (0.25)^y = ?

If x and y are non negative, simplify (81x¹⁷y¹⁸)^1/4

If a^x = b, b^y = c and c^z  = a; then the value of xyz is:

If log_x2 = a and log_x5 = b, then log_x50 = 

Find the value of n, if 27^n-(1/3) = 243.

If log_x9/16 = – 1/2 the value of the base is

If m and n are whole numbers such that mⁿ = 121, then the value of (m - 1)^{n + 1} is = ?