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Simplifying ln(x) + ln(6x) = ln(7x) Multiply ln * x lnx + ln(6x) = ln(7x) Remove parenthesis around (6x) lnx + ln * 6x = ln(7x) Reorder the terms for easier multiplication: lnx + 6ln * x = ln(7x) Multiply ln * x lnx + 6lnx = ln(7x) Combine like terms: lnx + 6lnx = 7lnx 7lnx = ln(7x) Remove parenthesis around (7x) 7lnx = ln * 7x Reorder the terms for easier multiplication: 7lnx = 7ln * x Multiply ln * x 7lnx = 7lnx Add '-7lnx' to each side of the equation. 7lnx + -7lnx = 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 0 = 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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