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Popular >

simplify ln(4^x)+ln(2^{x+2})

Solution

simplify

ln (4^{x}) + ln (2^{x + 2})

Solution

ln (2) (3 x + 2)

Solution steps

ln (4^{x}) + ln (2^{x + 2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (4^{x}) + ln (2^{x + 2}) = ln (4^{x} \cdot 2^{x + 2})

= ln (4^{x} \cdot 2^{x + 2})

Simplify

4^{x} \cdot 2^{x + 2} : 2^{3 x + 2}

= ln (2^{3 x + 2})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= ln (2) (3 x + 2)

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Frequently Asked Questions (FAQ)

What is ln(4^x)+ln(2^{x+2}) ?
The solution to ln(4^x)+ln(2^{x+2}) is ln(2)(3x+2)