Question

find the value of x when x^3 = 729

Answer 1

x^3=9^3
same power on both side so we can easily compare base
x=9

Answer 2

Concept:

Exponentiation involves two numbers, the base b and the exponent or power n, written as bⁿ, and pronounced as "b raised to the power of n".

For example: 2³ is an exponent which is read as 2 raised to the power 3 and means that 2 is being multiplied to itself 3 times.

Given:

We are given that x³=729.

Find:

We need to find the value of x.

Solution:

We will first factorize 729:

729=3×3×3×3×3×3.

Now we can also write it as:

729=3²×3²×3²

which can also be written as:

729=(3²)³

Simplifying it further, it can be written as:

729=9³

Now solving x³=729:

x³=9³

This implies that:

x=9.

Therefore, the value of x in the expression x³=729 will be 9.

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