Question

What equation is equivalent to 9x - 3 = 729? 9x - 3 = 981 9x - 3 = 93 3x - 3 = 36 32x - 3 = 36

Answer 1

Answer:

Option 2nd is correct

$9^x-3 =9^3$

Step-by-step explanation:

Given the equation:

$9^x-3 = 729$

We can write 729 as

$729 = 9 \cdot 9 \cdot 9 = 9^3$

then;

$9^x-3 =9^3$

Therefore, the equation which is equivalent to $9^x-3 = 729$ is, $9^x-3 =9^3$

Answer 2

The equation which is equivalent to 9^x -3 = 729 is; 9^x - 3 = 9^3

Equivalent equations

According to the question;

• The equation given is; 9^x -3 = 729.

By the law of indices;

• The integer 729 can be rewritten to take the form of 9 with an exponent as follows;
• 729 = 9³.

Hence, we can conclude that; 9^x - 3 = 9³

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