Solve for n 2.21^n=2.37

Math
2.21n=2.37
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln(2.21n)=ln(2.37)
Expand ln(2.21n) by moving n outside the logarithm.
nln(2.21)=ln(2.37)
Divide each term by ln(2.21) and simplify.
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Divide each term in nln(2.21)=ln(2.37) by ln(2.21).
nln(2.21)ln(2.21)=ln(2.37)ln(2.21)
Cancel the common factor of ln(2.21).
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Cancel the common factor.
nln(2.21)ln(2.21)=ln(2.37)ln(2.21)
Divide n by 1.
n=ln(2.37)ln(2.21)
n=ln(2.37)ln(2.21)
n=ln(2.37)ln(2.21)
The result can be shown in multiple forms.
Exact Form:
n=ln(2.37)ln(2.21)
Decimal Form:
n=1.08814388…
Solve for n 2.21^n=2.37

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