If log10x + log10x2 = 2 log10x + 1, then what is the value of x?
If log10x + log10x2 = 2 log10x + 1, then what is the value of x? Correct Answer 10
Given:
log10x + log10x2 = 2 log10x + 1
Formula used:
log a + log b = log ab
bloga = log ab
Calculation:
log10x + log10x2 = 2 log10x + 1
⇒ log10x3 = log10x2 + log1010
⇒ log10x3 = log1010x2
On comparing both sides
x3 = 10x2
⇒ x = 10
∴ The value of x is 10.
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Feb 20, 2025