What is the answer to (a)1.2*10^6=12*10^x,x ?

The answer to (a)1.2*10^6=12*10^x,x is x=(ln(100000a))/(ln(10))

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(a)1.210^6=1210^x,x

(a) 1.2 \cdot 1 0^{6} = 12 \cdot 1 0^{x}, x

x = \frac{ln ( 100000 a )}{ln ( 10 )}

Solution steps

(a) \cdot 1.2 \cdot 1 0^{6} = 12 \cdot 1 0^{x}

Switch sides

12 \cdot 1 0^{x} = a \cdot 1.2 \cdot 1 0^{6}

Divide both sides by

12

1 0^{x} = 0.1 a \cdot 1 0^{6}

Simplify

1 0^{x} = 100000 a

Apply exponent rules

x ln (10) = ln (100000 a)

Solve

x ln (10) = ln (100000 a) : x = \frac{ln ( 100000 a )}{ln ( 10 )}

x = \frac{ln ( 100000 a )}{ln ( 10 )}

\frac{( 2 ^{n + 1} + 2 ^{n} )}{( 2 ^{n + 4} - 2 ^{n - 1} )} = 1

8^{x - 3} = 4^{x + 1}

(- 3)^{x} = - 243

4^{x} - 2^{x + 4} = 80

3^{5} \cdot 3^{2} \cdot 0. 3^{6} = 3^{x}

What is the answer to (a)1.2*10^6=12*10^x,x ?
The answer to (a)1.2*10^6=12*10^x,x is x=(ln(100000a))/(ln(10))