What is ln(0.74+6)-ln(2(0.74)-1) ?

The solution to ln(0.74+6)-ln(2(0.74)-1) is ln(14.04166…)

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simplify ln(0.74+6)-ln(2(0.74)-1)

simplify

ln (0.74 + 6) - ln (2 (0.74) - 1)

ln (14.04166 \dots)

Decimal Notation

2.64202 \dots

Solution steps

ln (0.74 + 6) - ln (2 (0.74) - 1)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (0.74 + 6) - ln (2 (0.74) - 1) = ln (\frac{6 + 0.74}{2 \cdot 0.74 - 1})

= ln (\frac{0.74 + 6}{2 \cdot 0.74 - 1})

\frac{0.74 + 6}{2 ( 0.74 ) - 1} = 14.04166 \dots

= ln (14.04166 \dots)

ln (x) + ln (\frac{y}{x} + 1) + \frac{2}{\frac{y}{x} + 1} + 6

ln (x + 7) - 2 ln (x - 3) + ln (7)

x + ln (\frac{x ^{2}}{( x + 1 ) ^{6}})

lo g_{\frac{4 π ( m ^{3} )}{3}} (2 m)

ln (2 (ln (x) - 1))

What is ln(0.74+6)-ln(2(0.74)-1) ?
The solution to ln(0.74+6)-ln(2(0.74)-1) is ln(14.04166…)