3^{x+1} - 3^x = 54 | Indices - Solve | SciPiPupil

Question: Solve: $3^{x+1} - 3^x = 54$

Solution:

Given,

$3^{x+1} - 3^x = 54$

$or, 3^x × 3^1 - 3^x = 54$

$or, 3^x (3 - 1) = 54$

$or, 3^x × 2 = 54$

$or, \dfrac{3^x × 2}{2} = \dfrac{54}{2}$

$or, 3^x = 27$

$or, 3^x = 3^3$

$\therefore, x = 3$

= Answer

Related Notes and Solutions:

Here is the website link to the notes of Indices.

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