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Solve. Simplify your answer. log⁡(z)+log⁡(10)=1 \log(z) + \log(10) = 1 z= z = ____

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Q. Solve. Simplify your answer. log⁡(z)+log⁡(10)=1 \log(z) + \log(10) = 1 z= z = ____
  1. Combine logs using product rule: Combine the logs using the product rule. log⁡(z)+log⁡(10)=log⁡(z×10)\log(z) + \log(10) = \log(z\times10)
  2. Rewrite in exponential form: Rewrite the equation in exponential form.\newline101=z⋅1010^1 = z\cdot 10
  3. Divide both sides: Divide both sides by 1010 to solve for zz.\newlinez=10110z = \frac{10^1}{10}
  4. Calculate value of z: Calculate the value of zz.z=1010z = \frac{10}{10}z=1z = 1

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