moving The Power Rule
Exponents inside a logarithm can be moved to the front. Slide the exponent to rewrite the expression.
{{ s1_data.exp }}
log
{{ s1_data.base }}
(
{{ s1_data.arg }}
)
{{ s1_data.exp }}
Exponent
Coefficient
splitscreen The Product Rule
Multiplication inside becomes addition outside. Tap the multiply signs to split the logarithm.
log
{{ s2_data.base }}
(
{{ item }}
)
+
drag_indicator The Quotient Rule
Numerators get added, denominators get subtracted. Drag terms to the correct buckets.
{{ term.val }}
All terms sorted!
Added Logs
+ log{{s3_data.base}}({{term.val}})
Subtracted Logs
- log{{s3_data.base}}({{term.val}})
architecture Condense Logs
Let's put it all together. Tap a term to move it into the single logarithm.
ln
(
)
Numerator
{{item.var}}
{{item.coeff}}
·
Denominator
{{item.var}}
{{item.coeff}}
·
🎉
Log Master!
You've successfully manipulated logarithms using the power, product, and quotient rules.