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0:27 13:04 Suggested clip Solving Logarithmic Equations With Logs on Both Sides, Ln, e YouTubeStart of suggested client of suggested clip Solving Logarithmic Equations With Logs on Both Sides, Ln, e
Start with the equation: For example, log x = log (x — 2) + 3. Rearrange the terms: log x — log (x — 2) = 3. Apply the law of logarithms: log (x/x-2) = 3. Raise both sides to a power of 10: x ÷ (x — 2) = 3. Solve for x: x = 3.
1:06 2:40 Suggested clip Solving an exponential equation by taking the log of both sides YouTubeStart of suggested client of suggested clip Solving an exponential equation by taking the log of both sides
1:06 2:40 Suggested clip Solving an exponential equation by taking the log of both sides YouTubeStart of suggested client of suggested clip Solving an exponential equation by taking the log of both sides
0:02 1:18 Suggested clip Learn how to isolate and take the log of both sides to solve the YouTubeStart of suggested client of suggested clip Learn how to isolate and take the log of both sides to solve the
Suggested clip Solving a natural logarithmic equation using properties of logs YouTubeStart of suggested client of suggested clip Solving a natural logarithmic equation using properties of logs
You can “cancel out” the logs on each side of the equation, giving you t^2 — 6 = t, but not by division. The expression log(t) is a function applied to t, not multiplication. To undo/cancel a function you need to use its inverse function.
Move the 2 and write as a power. Put in the base number e on both sides of the equation. E and LN cancel each other out leaving us with a quadratic equation. X = 0 is impossible as there is no way of writing 0 as a power.
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