Solve for X, If : Logx49 - Logx7 + Logx 1/343 + 2 = 0 - Mathematics

Solve for x, if : log_x49 - log_x7 + log_x`1/343` + 2 = 0

Sum

log_x49 - log_x7 + log_x`1/343` = - 2

⇒ log_x`49/[7 xx 343]` = - 2

⇒ log_x`1/49` = - 2
⇒ - log_x 49 = - 2
⇒ log_x49 = 2
⇒ 49 = x² ...[Removing logarithm]
∴ x = 7.

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Chapter 8: Logarithms - Exercise 8 (D) [Page 111]

Chapter 8 Logarithms
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