1 of 8 0-day streak

Solve literal logarithmic and indicial equations

Question 1 of 8

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Solve the displayed equation for w in terms of the literal parameters

\log_{b}\left(3cw - 3d\right)=r

Use an exact logarithmic or exponential form; do not replace it with a decimal

(a)1 mark

Choose the expression that isolates w and keeps the inverse operation exact

\log_{b}\left(3cw - 3d\right)=r

w=\frac{b^{r} + 3d}{3c}

c=\frac{b^{r} + 3d}{3w}

w=\frac{r + 3d}{3c}

(b)2 marks

Complete the table with the numerical multipliers and exponent coefficient shown in the equation

\log_{b}\left(3cw - 3d\right)=r

multiplier of the constant parameter multiplier of the named variable

Choose the complete set of parameter conditions for this rearrangement

b>0,\quad b\ne1,\quad c\ne0

b>0,\quad b\ne1,\quad c=0

b>0,\quad b\ne1

b\ne0,\quad b\ne1,\quad c\ne1