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If log10(10x) = 2, what is the value of x?
If log10(10x) = 2, what is the value of x?
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Q1
If log10(10x) = 2, what is the value of x?
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10x = 10^2, so x = 10.
Questions & Step-by-step Solutions
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Q
Q: If log10(10x) = 2, what is the value of x?
Solution:
10x = 10^2, so x = 10.
Steps: 6
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Step 1: Start with the equation log10(10x) = 2.
Step 2: Understand that log10 means 'the power to which 10 must be raised to get a number'.
Step 3: Rewrite the equation in exponential form: 10x = 10^2.
Step 4: Calculate 10^2, which equals 100. So now we have 10x = 100.
Step 5: To find x, divide both sides of the equation by 10: x = 100 / 10.
Step 6: Calculate 100 / 10, which equals 10. Therefore, x = 10.
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