Question

if 3^x = 243 , find the value of x .

Answer 1

Answer:

If “3^x=243”, what is “x”?

[math]3^x = 243[/math]

Take the log base 3 of both sides to cancel out it’s corresponding base, 3.

[math]\log_3(3^x) = \log_3(243)[/math]

[math]x = \log_3(243)[/math]

[math]\log_3(243) = 5[/math], because [math]3^5 = 243[/math].

[math]x = 5\ \ [/math]← final answer.

Explanation:

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Answer 2

Answer:

Since bases are same, we can equate the powers, ∴x=5.