Related InterviewSolutions

• Solve `log_(2)(4xx3^(x)-6)-log_(2)(9^(x)-6)=1`.
• Let a, b, c, d be positive integers such that ` log_(a) b = 3//2 and log_(c) d = 5//4`. If (a-c) = 9, then find the value of (b-d).
• If ` log_(b) n = 2 and log_(n) 2b = 2`, then find the value of b.
• If ` log_(2) x xx log_(3) x = log_(2) x + log_(3) x`, then find x .
• If `y^2=xz` and a^x=b^y=c^z`then prove that `log_b (a)= log_c (b)
• Let `a= log_(3) 20, b = log_(4) 15 and c = log_(5) 12`. Then find the value of `1/(a+1)+1/(b+1)+1/(c+1)`.
• If `a^4b^5=1` then the value of `log_a(a^5b^4)` equalsA. `9//5`B. 4C. 5D. `8//5`
• `2^((sqrt(log_a(ab)^(1/4)+log_b(ab)^(1/4))-sqrt(log_a(b/a)^(1/4)+log_b(a/b)^(1/4)))sqrt(log_a(b))` =A. 1B. 2C. ` 2^(log_(a) b)`D. ` 2 ^(log_(b)a)`
• Solve for `x: log_(4) log_(3) log_(2) x = 0`.
• Solve ` (1/2)^(x^(6)-2x^(4)) lt 2^((x)^(2))`.