If 48^8 = 12^8 x 16^a then what would be the value of a?
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12^8 ×16^a = 48^8
⇒16^a = 48^8 ÷ 12^8
⇒(4²)^a = (48÷12)^8
⇒4^2a = 4^8
⇒2a = 8 [∵ bases are same , powers are equal ]
⇒a = 8 ÷2
∴a = 4
⇒16^a = 48^8 ÷ 12^8
⇒(4²)^a = (48÷12)^8
⇒4^2a = 4^8
⇒2a = 8 [∵ bases are same , powers are equal ]
⇒a = 8 ÷2
∴a = 4
Answered by
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48^8=12^8 x 16^a
Transposing12^8 on left hand side
4^8=16^a
4^8=4^2a
On comparison, 2a=8
a=4
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