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log(P_(1))=log(17 x(P_(2))^(2))

log⁡(P1)=log⁡(17x(P2)2) \log \left(P_{1}\right)=\log \left(17 x\left(P_{2}\right)^{2}\right)

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Convert between exponential and logarithmic formright chevron icon

Full solution

Q. log⁡(P1)=log⁡(17x(P2)2) \log \left(P_{1}\right)=\log \left(17 x\left(P_{2}\right)^{2}\right)
  1. Recognize Equality of Logarithms: Recognize that if the logarithms of two expressions are equal, then the expressions themselves must be equal.\newlinelog⁡(P1)=log⁡(17×(P2)2) \log(P_1) = \log(17 \times (P_2)^2) \newlineP1=17×(P2)2 P_1 = 17 \times (P_2)^2
  2. Solve for P11: Solve for P1 P_1 by substituting the value of P2 P_2 if known; otherwise, express P1 P_1 in terms of P2 P_2 .\newlineP1=17×(P2)2 P_1 = 17 \times (P_2)^2 \newlineThis step assumes P2 P_2 is known or that P1 P_1 is to be expressed in terms of P2 P_2 .

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