en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

36e^{5-z}-6^{2z}=0

Solution

36 e^{5 - z} - 6^{2 z} = 0

Solution

z = \frac{2 ln ( 6 ) + 5}{2 ln ( 6 ) + 1}

+1

Decimal Notation

z = 1.87269 \dots

Solution steps

36 e^{5 - z} - 6^{2 z} = 0

Add

6^{2 z}

to both sides

36 e^{5 - z} - 6^{2 z} + 6^{2 z} = 0 + 6^{2 z}

Simplify

36 e^{5 - z} = 6^{2 z}

Apply exponent rules

ln (36) + 5 - z = 2 z ln (6)

Solve

ln (36) + 5 - z = 2 z ln (6) : z = \frac{2 ln ( 6 ) + 5}{2 ln ( 6 ) + 1}

z = \frac{2 ln ( 6 ) + 5}{2 ln ( 6 ) + 1}

Popular Examples

4^{x} = \frac{1}{64}

2^{2x+4}-9(2^x)=0

2^{2 x + 4} - 9 (2^{x}) = 0

8 x = 1 6^{x}

0.9=(0.1)/(0.55^x)

0.9 = \frac{0.1}{0.5 5 ^{x}}

(3^x)(4^{2x+1})=6^{x+2}

(3^{x}) (4^{2 x + 1}) = 6^{x + 2}

Frequently Asked Questions (FAQ)

What is the answer to 36e^{5-z}-6^{2z}=0 ?
The answer to 36e^{5-z}-6^{2z}=0 is z=(2ln(6)+5)/(2ln(6)+1)