Question

5^x-2 * 3^2x-3 = 135
plz answer in copy and step by step

Answer 1

Answer:

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Step-by-step explanation:

Value of x = 3

Step-by-step explanation:

Given that:

5^{x-2} \cdot 3^{2x-3} = 1355

x−2

⋅3

2x−3

=135

We can write 135 as:

135 = 5 \cdot 3 \cdot 3 \cdot 3 = 5^1 \cdot 3^3135=5⋅3⋅3⋅3=5

1

⋅3

3

then:

5^{x-2} \cdot 3^{2x-3} =5^1 \cdot 3^35

x−2

⋅3

2x−3

=5

1

⋅3

3

on comparing both sides we have;

x-2 = 1 or 2x-3 = 3

x-2 = 1

Add 2 to both sides we have;

x = 3

For 2x-3 = 3

Add 3 to both sides we have;

2x = 6

Divide both sides by 2 we have;

x = 3

Therefore, the value of x we get, 3