Solve the problem.
-Find the value of $b$ for which $1 + \mathrm { e } ^ { \mathrm { b } } + \mathrm { e } ^ { 2 \mathrm {~b} } + \mathrm { e } ^ { 3 \mathrm {~b} } + \ldots = 9 \text {. }$
A) $\ln \frac { 9 } { 8 }$
B) $\ln \frac { 9 } { 10 }$
C) $\ln \frac { 10 } { 9 }$
D) $\ln \frac { 8 } { 9 }$

Question

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The Answer of Solve the problem.
-Find the value of $b$ for which $1 + \mathrm { e } ^ { \mathrm { b } } + \mathrm { e } ^ { 2 \mathrm {~b} } + \mathrm { e } ^ { 3 \mathrm {~b} } + \ldots = 9 \text {. }$
A) $\ln \frac { 9 } { 8 }$
B) $\ln \frac { 9 } { 10 }$
C) $\ln \frac { 10 } { 9 }$
D) $\ln \frac { 8 } { 9 }$

Solve the Problem bbb For Which 1+eb+e2 b+e3 b+…=9. 1 + \mathrm { e } ^ { \mathrm { b } } + \mathrm { e } ^ { 2 \mathrm {~b} } + \mathrm { e } ^ { 3 \mathrm {~b} } + \ldots = 9 \text {. }1+eb+e2 b+e3 b+…=9.

Solve the Problem $b$ For Which $1 + \mathrm { e } ^ { \mathrm { b } } + \mathrm { e } ^ { 2 \mathrm {~b} } + \mathrm { e } ^ { 3 \mathrm {~b} } + \ldots = 9 \text {. }$