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Popular >

simplify e^{ln(1+x)}e^c

Solution

simplify

e^{l n (1 + x)} e^{c}

Solution

e^{c} (x + 1)

Solution steps

e^{l n (1 + x)} e^{c}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{l n (1 + x)} e^{c} = e^{l n (x + 1) + c}

= e^{l n (1 + x) + c}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{l n (1 + x)} e^{c}

Simplify

e^{l n (1 + x)} : 1 + x

= (1 + x) e^{c}

= e^{c} (x + 1)

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Frequently Asked Questions (FAQ)

What is e^{ln(1+x)}e^c ?
The solution to e^{ln(1+x)}e^c is e^c(x+1)