(ln(x))^14+14(ln(x))^13 for x=2

asked by guest
on Mar 28, 2025 at 7:20 am



You asked:

Calculate the value of ln⁡(x)14+14ln⁡(x)13{\ln\left( x \right)}^{14} + 14 {\ln\left( x \right)}^{13} when x=2x = 2.

MathBot Answer:

ln⁡(x)14+14ln⁡(x)13=log⁡(2)14+14log⁡(2)13{\ln\left( x \right)}^{14} + 14 {\ln\left( x \right)}^{13} = \log{\left(2 \right)}^{14} + 14 \log{\left(2 \right)}^{13}

log⁡(x)14+14log⁡(x)13=log⁡(2)14+14log⁡(2)13=14log⁡(2)13+log⁡(2)13log⁡(2)=log⁡(2)13log⁡(2)+14log⁡(2)13=log⁡(2)14+14log⁡(2)13\begin{aligned}\log{\left(x \right)}^{14} + 14 \log{\left(x \right)}^{13}&=\log{\left(2 \right)}^{14} + 14 \log{\left(2 \right)}^{13}\\&=14 \log{\left(2 \right)}^{13} + \log{\left(2 \right)}^{13} \log{\left(2 \right)}\\&=\log{\left(2 \right)}^{13} \log{\left(2 \right)} + 14 \log{\left(2 \right)}^{13}\\&=\log{\left(2 \right)}^{14} + 14 \log{\left(2 \right)}^{13}\end{aligned}


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