Question

State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.


`5^x = 5^9`

Answer 1

The value of x in the equation 5^x = 5^9 is 9. We know this to be true without doing any calculations because in the equation 5^x = 5^9, the bases are the same and the equation states that they are equal. Therefore, the only way for the bases to be equal is if the exponents are also equal. Since the exponent of 5^9 is 9, the value of x is 9.

Step-by-step explanation:

The value of x in the equation 5^x = 5^9 is 9. We know this to be true without doing any calculations because in the equation 5^x = 5^9, the bases are the same and the equation states that they are equal. Therefore, the only way for the bases to be equal is if the exponents are also equal. Since the exponent of 5^9 is 9, the value of x is 9

Answer 2

x=9

if

a^b = a^c

then b=c

so in this case x=9