Question

3. Determine the x in the following.

(32)^x ÷ (32)^26 = (32)^49​

Answer 1

Answer:

75

Step-by-step explanation:

(32)^x ÷ (32)^26 = (32)^49

(32)^(x-26) = (32)^49

when the bases are equal, equate the powers

x - 26 = 49

x = 26 + 49

x = 75

Answer 2

Answer:

$\frac{ {32}^{x} }{ {32}^{26} } = {32}^{49} \\ = = > {32}^{x} = {32}^{49} \times {32}^{26} \\ = = > {32}^{x} = {32}^{49 + 26} \\ = = > {32}^{x} = {32}^{75} \\ bases \: are \: equal \: so \: powers \: should \: be \: equalized \\ so \: x = 75$

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