Solve for ( x ) in the equation ( log_{10}(2cos x) = 1 ).

Question

Accepted Answer

Step:1 ：Step 1: Convert the logarithmic equation to an exponential equation: ( 10^1 = 2cos x ).Step:2 ：Step 2: Simplify the equation: ( cos x = frac{10}{2} ).Step:3 ：Step 3: Solve for ( x ): ( x = arccos(5) ). However, since the value of the cosine function lies in the interval [-1,1], there is no real solution to this equation as the value 5 is outside this range.

Answer

Step: 1 ：Step 1: Convert the logarithmic equation to an exponential equation: ( 10^1 = 2cos x ).Step: 2 ：Step 2: Simplify the equation: ( cos x = frac{10}{2} ).Step: 3 ：Step 3: Solve for ( x ): ( x = arccos(5) ). However, since the value of the cosine function lies in the interval [-1,1], there is no real solution to this equation as the value 5 is outside this range.

Solve for $x$ in the equation $\log_{10} (2 \cos x) = 1$ .

Answer

Popular Problems

Solve for x in the equation log10⁡(2cos⁡x)=1.

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Popular Problems

Solve for $x$ in the equation $\log_{10} (2 \cos x) = 1$ .