Choose the correct alternative in the following question:

$If 3^{x} = 6561, then 3^{x - 3} = (a) 81 (b) 243 (c) 729 (d) 27$

Open in App

Solution

$As, 3^{x} = 6561 \Rightarrow 3^{x} = 3^{8} Comparing the exponent of both the sides, we get x = 8 Now, 3^{x - 3} = 3^{8 - 3} = 3^{5} = 243$

Hence, the correct alternative is option (b).

Suggest Corrections

Similar questions

If P = 3 x^{3} + 3 x^{2} + 3 x + 3 and Q = 3 x^{2} - 3 x + 3, then P - Q = (a) 3 x^{3} (b) 3 x^{3} + 6 x^{2} + 6 x + 6 (c) 6 x^{2} + 6 x + 6 (d) 3 x^{3} + 6 x

If x : y = 1 : 1, then \frac{3 x + 4 y}{5 x + 6 y} = (a) \frac{7}{11} (b) \frac{17}{11} (c) \frac{17}{23} (d) \frac{4}{5}

If 2^{n} = 1024, then 2^{(\frac{n}{2} + 2)} = (a) 64 (b) 128 (c) 256 (d) 512

If 2^{n} = 4096, then 2^{n - 5} = (a) 128 (b) 64 (c) 256 (d) 32

3^{x} = 6561,

3^{x - 3}

Join BYJU'S Learning Program