Question

Help me find value of x​

Answer 1

Given

• (13/21)⁴ × (13/21)⁻⁵ = 2x + 1

To Find

• The value of x

Solution

☯ a^m × a^n = a^(m+n)

• When two equal numbers raised to some power are multiplied then the powers get added up

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✭ According to the Question :

As the base numbers are equal on both LHS and the RHS we can equate the powers to find the value of x

➞ 4 + (-5) = 2x + 1

➞ 4 - 5 = 2x + 1

➞ -1 = 2x + 1

➞ -1 -1 = 2x

➞ x = -2/2

➞ x = -1

∴ The value of x is -1

Answer 2

Answer:

Given

• (13/21)⁴×(13/21)-⁵ = 2x +1

To Find

• The value of x

Solution

☯ a^m × a^n = a^(m+n)

• When the two equal numbers raised to some power are multiplied then the powers get added up

__________________________

★ According to the question

As the base numbers are equal on both LHS and

the RHS we can equate the power to find the value of x

→ 4 + (-5) = 2x + 1

→ 4 - 5 = 2x + 1

→ -1 = 2x + 1

→ -1 - 1 = 2x

→ x = -2/2

→ x = -1

:. The value of x is -1