What is 0.3*ln(3400)+0.7*ln(5800) ?

The solution to 0.3*ln(3400)+0.7*ln(5800) is ln(4941.32330…)

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simplify 0.3ln(3400)+0.7ln(5800)

simplify

0.3 \cdot ln (3400) + 0.7 \cdot ln (5800)

ln (4941.32330 \dots)

Decimal Notation

8.50538 \dots

Solution steps

0.3 ln (3400) + 0.7 ln (5800)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.3 ln (3400) = ln (340 0^{0.3})

= ln (340 0^{0.3}) + 0.7 ln (5800)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.7 ln (5800) = ln (580 0^{0.7})

= ln (340 0^{0.3}) + ln (580 0^{0.7})

Apply log rule:

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

ln (340 0^{0.3}) + ln (580 0^{0.7}) = ln (340 0^{0.3} \cdot 580 0^{0.7})

= ln (340 0^{0.3} \cdot 580 0^{0.7})

340 0^{0.3} \cdot 580 0^{0.7} = 4941.32330 \dots

= ln (4941.32330 \dots)

40 e^{\frac{l n ( 53 ) 31}{21}}

ln (\frac{1}{x ^{2} + 9})

(lo g_{30} (2) + lo g_{30} (3) + lo g_{2} (12))^{2}

ln (\frac{x ^{2} - 25}{x ^{4}})

\frac{1}{0.039} ln (\frac{42.5}{42.46769})

What is 0.3*ln(3400)+0.7*ln(5800) ?
The solution to 0.3*ln(3400)+0.7*ln(5800) is ln(4941.32330…)