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Solve for x, rounding to the nearest hundredth. 10^(x)=10 Answer:

Solve for x x , rounding to the nearest hundredth.\newline10x=10 10^{x}=10 \newlineAnswer:

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Full solution

Q. Solve for x x , rounding to the nearest hundredth.\newline10x=10 10^{x}=10 \newlineAnswer:
  1. Write Equation: Write down the equation.\newlineWe are given the equation 10x=1010^{x} = 10.
  2. Recognize Base: Recognize that 1010 is 1010 to the power of 11. We can rewrite the equation as 10x=10110^{x} = 10^{1}.
  3. Set Exponents Equal: Since the bases are the same, the exponents must be equal.\newlineSet the exponents equal to each other: x=1x = 1.
  4. Round to Nearest Hundredth: Round the answer to the nearest hundredth.\newlineSince xx is already a whole number, rounding to the nearest hundredth will not change the value: x=1.00x = 1.00.

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