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If log10(x) + log10(10) = 2, what is the value of x?
If log10(x) + log10(10) = 2, what is the value of x?
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If log10(x) + log10(10) = 2, what is the value of x?
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log10(x) = 2 - 1 = 1, so x = 10^1 = 10.
Questions & Step-by-step Solutions
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Q: If log10(x) + log10(10) = 2, what is the value of x?
Solution:
log10(x) = 2 - 1 = 1, so x = 10^1 = 10.
Steps: 7
Show Steps
Step 1: Start with the equation: log10(x) + log10(10) = 2.
Step 2: Recognize that log10(10) equals 1 because 10 raised to the power of 1 is 10.
Step 3: Substitute 1 for log10(10) in the equation: log10(x) + 1 = 2.
Step 4: To isolate log10(x), subtract 1 from both sides: log10(x) = 2 - 1.
Step 5: Simplify the right side: log10(x) = 1.
Step 6: Convert the logarithmic equation to exponential form: x = 10^1.
Step 7: Calculate 10^1, which equals 10.
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